Question

Two angles of a quadrilateral measure 252° and 63°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer 1

The 4 angles of the quadrilateral are : 252, 63, 18 and 27

Explanation:

252 + 63 + 2x + 3x = 360

315 + 5x = 360

5x = 45 ( 360-315 )

x = 9

Therefore, 1st angle = 2x = 18

2nd angle = 3x = 27

Answer 2

The sum of the interior angles of a quadrilateral is 360°. We can use this fact to find the measures of the other two angles.

Let x be the measure of one of the two angles in the 2:3 ratio. Then, the measure of the other angle is 3x (since the two angles are in a ratio of 2:3).

We know that:

252° + 63° + 2x + 3x = 360°

Simplifying this equation, we get:

5x + 315° = 360°

5x = 45°

X= 9°

Therefore, one of the angles has a measure of 2x = 18°, and the other angle has a measure of 3x = 27°.