Question

100 POINTS!
What are the angle measures of the triangle?

Answer 1

42.5 degrees

68.75 degrees

68.75 degrees

Explanation:

The base angles are equal since this is a isosceles triangle.

Angle C is also 2x + 37

Angles in a triangle add up to 180 degrees.

`2(2x+37)+4x-21=180\\4x+74+4x-21=180\\8x+53=180\\8x=127\\x=(127)/(8)`

Plug x as 127/8 and solve the angle measurements.

2(127/8) + 37

254/8 + 37 = 68.75

4(127/8) - 21

508/8 - 21 = 42.5

Answer 2

42.5°,68.75°,68.75°

Explanation:

Angles In A Triangle

The sum of the interior angles in a triangle is 180°. If the triangle is isosceles, then two of the angles must be equal

The triangle shown in the figure is isosceles (as suggested by the mid-segments), so the unmarked angle must be equal to the other angle adjacent to the like side. We can say

4x-21+2x+37+2x+37=180

Simplifying

8x=127

x=15.875

So the angles are

4x-21=42.5°

2x+37=68.75°

2x+37=68.75°

The total sum is 42.5+68.75+68.75=180