Two angles are complementary the longer angle is 30° more than four times the smaller angle find the measure of each angle

The angles would be 12 degrees and 78 degrees

Step-by-step explanation:

In order to find this we must first note that complementary angles have a sum of 90. Now we can set the smaller angle as x and the larger angle as 4x + 30. Now find the sum and set equal to 90.

x + 4x + 30 = 90

5x + 30 = 90

5x = 60

x = 12

This makes the first angle 12 and we can find the larger angle.

4x + 30

4(12) + 3-

48 + 30

78

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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

more i think

hope this !