7a. The sum of the measures of two adjacent angles is 72°. The ratio of the smaller angle to the larger angle is 1∶3. Find the measure of the SMALLER angle. *

7b. The sum of the measures of two adjacent angles is 72°. The ratio of the smaller angle to the larger angle is 1∶3. Find the measure of the LARGER angle. *

Smaller: 18 degrees

Larger: 54 degrees

Step-by-step explanation:

7. (a) Say the smaller angle is x and the larger angle is y. The sum is 72, so:

x + y = 72

The ratio of the smaller angle to the larger angle is 1:3, so:

x/y = 1/3

Cross-multiplying, we get: y = 3x

We can substitute this value of y into the first equation:

x + 3x = 72

4x = 72

x = 18

Thus, the smaller angle is 18 degrees.

7. (b) Knowing the smaller angle, we can now find the larger angle:

y = 3x

y = 3 * 18 = 54

Thus, the larger angle is 54 degrees.

Hope this helps!

smaller angle is 18

The larger angle is 54

Step-by-step explanation:

The ratio is 1:3

Multiply by x

x:3x

We know they sum to 72

x+3x = 72

Combine like terms

4x= 72

Divide by 4

4x/4 = 72/4

x =18

The smaller angle is 18

The larger angle is

3x = 3*18 =54

The larger angle is 54

it is true

step-by-step explanation:

all the combinations add up i used   calculator

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step-by-step explanation: