Question

∆ABC angle A is right angle B is 2/3 of angle A. findd the ratio of A:C​

Answer 1

Answer:

Ratio is 3:1

Step-by-step explanation:

Measure of ∠A = 90°

Measure of ∠B = 2/3 x 90°

                         = 60°

Measure of ∠C = 180° - (90° + 60°)

                          = 180° - 150°

                         = 30°

Ratio of ∠A to ∠C = 90°:30°

                              = 3:1

Answer 2

Angle A = 90°

Angle B = 2/3 × 90°

= 2 × 30

=60°

Sum of all angles is 180°,

$a + b + c = 180 \\ 90 + 60 + c = 180 \\ c = 180 - 150 \: \: \: \: \: \: \\ c = 30 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Angle C = 30°

Ratio of:

A:C = 90:30

=3:1