In an isosceles triangle one angle 69 degrees greater than each of the other two equal angles. Find the measure of all three angles

Question

find the two smaller angle

 

Answer 1

Good Morning, Robert,

Since we know both angles are equal we can assign them the value of x, okay? 

Since we also know that the one angle is 69 degrees greater than 'each' of the other two angles, we can assign that angle the value x + 69, right? 


Now, all we need do is to write an equation remembering all three angles must equal 180 degrees. 

2x + x + 69 = 180   Solve for x 

3x + 69 = 180 

3x = 111 

x = 111/3 

x = 37   This is the measure of the two angles that are equal. 

37 + 37 + x = 180

74 + x = 180

x = 106 




I hope this assists you and that you have a great Friday.