Question

Two angles of a quadrilateral measure 253° and 74°. The other two angles are in a ratio of 5:6. What are the measures of those two angles?

Answer 1

15 and 18 degrees.

Explanation:

The total measure of the 2 angles = 327 degrees.

As there are 2 angles and 360 degrees in a quadrilateral the other 2 angles

add up to 360 - 27 = 33 degrees.

If they are in the ratio 5:6 their measure is:

33 * 5/(5 + 6) = 33 * 5/11 = 3*5 = 15 degrees and

33 * 6/11 = 3*6 = 18 degrees.

Answer 2

Explanation:

Given

1st angle = 253° 2nd angle = 74°

Let the other two angels be 5x and 6x.

253° + 74° + 5x + 6x = 360° <being sum of angles of quadrilateral >

327° + 11x = 360°

11x = 360° - 327°

11x = 33°

Therefore x = 3°

Now

Measures of two angles

5x = 5*3 ° = 15 °

6x = 6 * 3 = 18 °