Annika S.

asked • 01/14/15

Find the following measures

Line AB is tangent to circle R, AC perpendicular to BE. Angle M BED=30 degrees, and arc hD is 50 degrees 

Mark M.

Where are "C" and "E?"
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01/14/15

Brenda D.

tutor
What exact measures are you asking us to find? I agree with Mark above that we need the information he mentioned. Is there a diagram or picture that goes with your description?
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11/02/24

Terrence S.

tutor
They have to come up with a better way to present this. Who in the world can answer this without a picture? They need to make it possible to post a picture to go with it. All these questions are like this ! This is education . . And part of that organization.
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12/12/24

Eamen H.

If a real problem, the stated description leaves much out. I cannot get the drawings in here. Unfortunately, the editor here mismanages End-Of-Lines & New-Lines. Try to look at it in editing mode, the format looks reasonable while editing. Analysis: 1- Assume line AC intersects BE at point M. 2- Assume points h and M are on the circle. 3- Find the angle BAC, using properties of tangents, chords, and inscribed angles. Answer: The measure of angle BAC is 65 degrees. Python Code: import sympy as sp # Define the variables angle_BED = 30 arc_hD = 50 angle_BAC = sp.symbols('angle_BAC') # Calculate angle_BMD angle_BMD = 180 - angle_BED - 90 # 90 is for angle_BDM # Calculate arc_BD arc_BD = 2 * angle_BMD # Calculate arc_Be arc_Be = 360 - arc_hD # Calculate angle_BAE angle_BAE = arc_Be / 2 # Calculate angle_BAC angle_BAC = 180 - angle_BAE - 90 # 90 is for angle_BEA # Print the value of angle_BAC print(f"The value of angle_BAC is : {angle_BAC}") ------------------------------------------------------------------------ Code output: The value of angle_BAC is -65.0 ------------------------------------------------------------------------
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12/28/24

Gerald L.

I guess you had to be there
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01/28/25

Pansy S.

tutor
Not enough information
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03/14/25

Michael G.

tutor
Hmm… without a picture, should still be possible (even if painful), but like Mark says… where are C and E ? Insufficient Description...
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06/18/25

Shailesh K.

tutor
I agree the problem is incompletely specified.
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06/18/25

Cristl A.

tutor
Yep, like they all said, there's not enough info to draw a complete picture. What letter is assigned to the tangent point on line AB? Where is point E located? Please try again.
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07/13/25

CJ L.

tutor
To continue the chain of tutors, I agree that the problem is incomplete as written.
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09/05/25

1 Expert Answer

By:

Jody B. answered • 09/21/25

Tutor
4.9 (85)

B.S. in Pure Math + 10 Years Tutoring Through College Learning Labs
About this tutor ›
About this tutor ›

Consider what points, lines, arcs, and circles are mentioned:

1) points: A, B, C, E, D, h are used as building blocks in the prompt...

2) circle R is also mentioned, as is arc hD

(although we do not know if arc hD is made from the points on the circle...)

3) We are also working with lines AB, AC, BE

(note that the points define segments on the line, yet the line(s) could extend beyond the segment(s)

4) Finally, using the ideas behind tangency, perpendicular lines, angle measures, and arc measures, we can position the lines to meet the 4 implied or given measurements in the prompt.

5) As we are working with lines, we can also find complementary angles, diagonal angles, etc...

6) Finally, we can consider if there are any triangles formed in our picture, and then use the trigonometry theorems to determine their side lengths.

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