Let x be the smaller angle and y be the larger angle. Then we know:
x + y + 39° + 61° = 360° (the sum of the angles in a quadrilateral is 360°)
x + y = 260°
We also know that y/x = 7/6, which means y = (7/6)x.
Substituting this into the first equation, we get:
x + (7/6)x = 260°
(13/6)x = 260°
x = 120°
Therefore, y = (7/6)x = (7/6)(120°) = 140°.
The two missing angles are 120° and 140°, in a ratio of 6:7.
Two angles of a quadrilateral measure 39° and 61°. The other two angles are in a ratio of 6:7. What are the measures of those two angles?
1 answer