Question

Two angles of quardrilateral measure 75degree and other two angles are equal. What is the measure of each of these two angles?

Answer 1

Solution :

Let <A , <B , <C , <D are four angles of

a Quadrilateral ABCD .

Given <A = 75° , <B= 75°,

<C = <D = x

We know that ,

<A + <B + <C + <D = 360°

=> 75° + 75° + x + x = 360°

=> 150° + 2x = 360°

=> 2x = 360 - 150

==> 2x = 210

=> x = 210/2

=> x = 105°

Therefore ,

<A = <B = 75°

<C = <D = 105°

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