Question

the measures of 2 angles of a quadrilateral are 105 , 45 and the other 2 angles are equal. Find the measure of both the eqaul angles.

Answer 1

To find the measure of the equal angles in the quadrilateral, we can use the fact that the sum of the interior angles of a quadrilateral is always 360 degrees.

Given:

Angle 1 = 105 degrees

Angle 2 = 45 degrees

Let's assume that the measure of the equal angles is x degrees.

Since the other two angles are equal, we can set up the equation:

105 + 45 + 2x = 360

Simplifying the equation:

150 + 2x = 360

Subtracting 150 from both sides:

2x = 210

Dividing both sides by 2:

x = 105

Therefore, the measure of each of the equal angles in the quadrilateral is 105 degrees.

Explanation: