Question

In the triangle below, with right angle ZA, suppose that m B = (2x)° and mC = (5x-8)°.

Find the degree measure of each angle in the triangle.
B
(2x)
A
A
-
(x – 8)=
mZA
=
mZB =
mZC =
X

Answer 1

m angle B = 27.54 degree

m angle C = 60.85 degree

Explanation:

angle A is 90º so the other two angles must sum to 90º

2x+5x-8=90

7x-6=90

7x=96

x=13.77

therefore,

m angle B = 27.54 degree

m angle C = 60.85 degree