Question

In the given figure A ABC side AC has been produced to D. ZBCD = 125° and ZA: ZB = 2:3, find the measure of LA and B ​

Answer 1

Answer:

<A= 50° <B=75°

Step-by-step explanation:

Given,

A:B =2:3

therefore,

<A=2x

<B=3x

let us take <BCD=125°

since A,C,D is a straight line the sum of angles <BCD AND <ACB is 180

therefore, 180-125= 55

Now,

55+2x+3x=180 (angle sum property)

5x= 125

x= 25

putting the value of x we get,

<A= 2×25

=> <A=50°

<B=3×25

=> <B=75°