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

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°.

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