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Your friend is making a pattern for quilt pieces. Her pattern is a right angle with two acute angles that complementary. The measure of one of the angles is to be 12° more than half the measure of the other angle. Find the measure of each angle of the triangle. Show your work using the format above. ​

Your friend is making a pattern for quilt pieces Her pattern is a right angle with two acute angles that complementary The measure of one of the angles is to be class=

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calculista

Answer:

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

[tex]x+y=90\°[/tex] -----> equation A

[tex]y=\frac{x}{2}+12[/tex] ----> equation B

Substitute equation B in equation A and solve for x

[tex]\frac{x}{2}+12+x=90\°[/tex]

[tex]\frac{x}{2}+x=90\°-12\°[/tex]

[tex]\frac{3x}{2}=78\°[/tex]

[tex]x=(2)78/3=52\°[/tex]

Find the measure of y

[tex]y=\frac{52}{2}+12=38\°[/tex]

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°

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