Question

The vanishing point of the picture is represented by point B.

A) The measure of angle ABD is is 6.2 times greater than the measure of angle CBD. Find the measure of angle CBD.

B) Angle FBE and angle EBD are congruent. Find the measure of angle FBE.

Answer 1

A) Angles ABD and CBD are supplementary, so you have ...
 ∠ABD + ∠CBD = 180°
 6.2(∠CBD) + ∠CBD = 180°
 7.2(∠CBD) = 180°
 ∠CBD = 180°/7.2
 ∠CBD = 25°

B) Angles EBD and CBD are complementary, so you have ...
 ∠FBE = ∠EBD = 90° - ∠CBD
 ∠FBE = 90° - 25°
 ∠FBE = 65°