Question

Asap pls!!!

Two angles of a quadrilateral measure 245 degrees and 80 degrees. The other two angles are in a ratio of 2:5 what are the measures of those two angles?

Answer 1

10° and 25°

Explanation:

The ratio of the 2 angles = 2 : 5 = 2x : 5x ( x is a multiplier )

The sum of the 4 interior angles of a quadrilateral = 360°

sum the 4 angles and equate to 360

245 + 80 + 2x + 5x = 360

325 + 7x = 360 ( subtract 325 from both sides )

7x = 35 ( divide both sides by 7 )

x = 5

Thus

2x = 2 × 5 = 10

5x = 5 × 5 = 25

Then the 2 angles measure 10° and 25°