Question

ABCD is a quadrilateral with <A=<C and
<B=<D. If <A is twice <B, find the measure
of each angle.​

Answer 1

Given:

ABCD is a quad. in which <A=<C & <B=<D

<A = 2<B

Solution:

Since, <A=<C & <B=<D.

Therefore quad. ABCD is a llgm.

Now, we know that the some of adjacent angles of a llgm is 180°.

So,. <A + < B = 180°. --------------(i)

2<B + < B = 180°

3<B = 180°

<B = 60°

Now, <D = <B = 60°

<A = <C = 180°- 60° = 120°. [from (i)]

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