Question

Two angle of a quadrilateral are 75 each, and the other two anhles are equal. find the magnitude of each of the equal angles

Answer 1

Answer:

First angle = 75°

Second angle = 75°

Third angle = 105°

Fourth angle = 105°

Step-by-step explanation:

Let the other two angles be x, as they both are equal.

Now, we know that ;

Sum of angles of quadrilateral is 360°.

⇒ 75 + 75 + x + x = 360

⇒ 150 + 2x = 360

⇒ 2x = 360 - 150

⇒ 2x = 210

⇒ x = 210/2

⇒ x = 105

Hence, the angles of quadrilateral is 75°, 75°, 105° and 105°.

Answer 2

solution-

Let the other two are x

then

it is given that two angle are equal which 75 degree.

therefore

we know that

sum of all angle of quadrilateral is 360 degree.

so

$x + x + 75 + 75 = 360 \\ 2x = 360 - 150 \\ 2x = 210 \\ x = 105$

hence the other two angle are 105 degree

hope it will help you