Question

In ∆ XYZ, angle y = 90°. angle z= a°, angle X = (a+30)° ,XZ =24 , then find XY and YZ.​

Answer 1

/_X+/_Y+/_Z=180°

a+30°+90°+a=180°

2a+120°=180°

2a=180°-120°

2a=60°

a=60°/2

a=30°

XY=a+90°

=30°+90°

=120°

YZ=a+30°+90°

= 30°+30°+90°

=150