Question

ΔXYZ has angles with the following measurements:

m∠X=(10x-33)°
m∠Y=(4x-19)°
m∠Z=(100-2x)°
What are the measures of the three angles?

Answer 1

Below in bold.

Explanation:

The 3 angles add up to 180 degrees as they are in a triangle.

So 10x - 33 + 4x - 19 + 100 - 2x = 180

12x = 180 + 33 + 19 - 100

12x = 132

x = 11.

So the 3 angles are

10(11) - 33 = 110 - 33 = 77 degrees

4(11) - 19 = 25 degrees

100 - 2(11) = 78 degrees