Question

Use the Triangle Angle Sum Theorem to find the measures of the missing angles of this triangle. What are the measures of each angle of this triangle? *
2 points
Captionless Image
45°, 45°, 90°
27.5°, 62.5°, 90°
32.2°, 57.8°, 90°
40°, 50°, 90°

The triangle is a right triangle so wee know one angle is 90 the other two are unknown

the other two are: 3x + 2 and 2x - 5

Answer 1

To find the measures of the other two angles, we can use the Triangle Angle Sum Theorem, which states that the sum of the interior angles of a triangle is 180 degrees.

Let's set up an equation:

90 + 3x + 2 + 2x - 5 = 180

Simplify the equation:

90 + 3x + 2 + 2x - 5 = 180
5x + 87 = 180
5x = 93
x = 18.6

Now, we can find the measures of each angle:

First angle: 3(18.6) + 2 = 56.8 degrees
Second angle: 2(18.6) - 5 = 32.2 degrees

Therefore, the measures of each angle of this triangle are 32.2°, 57.8°, and 90°.