Answer: The measurements of the two angles are 60° and 80°.
Step-by-step explanation:
A quadrilateral is a shape that has four sides and the total angle is 360°. Two angles of a quadrilateral measure 140° and 80°.
This means the two angles have a total of (140° + 80°) = 220°. We can then subtract from 360° to know the value of the other remaining angles. This will be:
= 360° - 220°
= 140°
The other two angles are in the ratio of 3:4. This means the angles are:
(3/3+4) × 140° = 3/7 × 140° = 60°
(4/3+4) × 140° = 4/7 × 140° = 80°
The measurements of the two angles are 60° and 80°.
