Question

in triangle ABCD measure of angle a is equal to sum of the measures of angle B&C also did Ratio of measure of angle b and c is 4:5 Then find the measure of the angles of a triangle​

Answer 1

Answer:

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Answer 2

Answer: Given, <B:< C = 4:5

Let <B = 4x , <C=5x

Given, <A =<B + <C

<A = 4x + 5x

<A = 9x

According to the problem

<A + <B + <C= 180° [ Triangular property ]

9x + 4x + 5x = 180°

9x + 9x = 180°

18x = 180°

x = 180 ÷ 18

x = 10°

There fore , <A = 9x = 9×10=90°

<B = 4x = 4×10=40°

<C = 5x = 5×10=50°