Question

In ∆ABC the measure of angle A is equal to the sum of measures of angle B and angle C . Also the ratio of measures of angle B and angle C is 4:5 . Then find the measures of all the angles

Answer 1

Answer:

A=90° B=40° C=50°

Step-by-step explanation:

A=B+C

B:C=4:5

⇒B=4x

⇒C=5x

A=4x+5x=9x

A+B+C=180°

⇒9x+4x+5x=180

⇒18x=180

∴x=10

so

A=90°

B=40°

C=50°