Question

The measure of two angles of a quadrilateral are 105° and 45° and the other two angles are equal. Find the measure of each of the equal angles.

Answer 1

The measures of two angles are 105 and 45
The other two angles are equal .
Let the two angles be X+X =2X
Sum of all angles in a Quadrilateral =360
2X+105+45=360
2X+150=360
2X=360-150
2X=210
X=210/2
X=105
The other two angles are 105,105.
The angles are 105,105,105,45.

Answer 2

Given :

• The measure of two angles of a quadrilateral are 105° and 45° and the other two angles are equal .

To find :

• The measure of each of the equal angles .

Solution :

Let the measure of each of the equal angles be r

x + x + 105° 45° = 360°

2x + 150° = 360°

2x = 210°

x = 105°

Thus, measure of each of the equal angles is 105° .