Respuesta :
Answer:
80° and 100°
Step-by-step explanation:
If both angle are supplementary, that means theis sum is equal to 180°.
The given ratio of such angles is 4:5, which means the if one is quadraple, the other one is five times the angle.
We just have to find to numbers that are in the same ratio of 4:5 and sum 180°, those angles are 80 and 100, because both numbers can be obtained by multiplying the same number to the ratio.
Notice that if you multiply each part of the ratio by 20, they will sum 180°.
Therefore, the angles are 80° and 100°.
The measure of the larger angle is 100 degrees.
What are supplementary angles?
Supplementary angles are two angles that add up to 180 degrees. For example, if two angles are supplementary angles, if one angle measures 100 degrees, the other measures 80 degrees.
What are ratios?
Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
What is the value of the larger angle?
Larger angle = (5/9) x 180 = 100 degrees
To learn more about ratios, please check: https://brainly.com/question/25927869
