If m∠A = (11x + 13)°, m∠B = (9x – 24)°, and ∠A is a right angle, find the difference in the measures of the two angles.

Question

I don’t understand geometry and can’t afford a tutor. 

Answer 1

All you really have to do is pay close attention in Geometry class, and ask questions.

Since angle A is a right angle, you know 90 = 11x+13, so SOLVE FOR X.

Knowing that, you can also calculate angle B, and therefore you can calculate the difference in their measures.

Answer 2

Lucky you, this boils back down to algebra if you know what you're looking at.

Here's what we know:

m∠A = (11x + 13)° = 90° (A right angle equals 90 degrees)

m∠B = (9x – 24)°

 

First, let's find the vale of x:

11x + 13 = 90

Subtract 13:

11x = 77

Divide by 11:

x = 7

 

Now that we know x, we can find m∠B:

9 * 7 – 24

63 - 24

39

 

Now that we know what the angles are, we can find their difference:

90 - 39 = 51