The measures of two supplementary angles have a ratio of 4: 5. what is the measure of the larger angle

The measure of the larger angle = 100°

Step-by-step explanation:

∵ The measure of the supplementary angles = 180°

∵ The ratio between them is 4 : 5

Let the smaller is 4x and the larger is 5x

∴ 4x + 5x = 180

∴ 9x = 180°

∴ x = 180 ÷ 9 = 20

∴ The measure of the larger angle = 5 × 20 = 100°

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step-by-step explanation:

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value