The measure of an angle is 12° more than twice the measure of its complement. Write and solve and algebraic equation to find the measure of each angle. I need help!

From the given measure whose angle is  12° more than twice the measure of its complement.

The measure of the two angles is 64° and 26° respectively.

Complementary angles are angles whose sum is equal to 90°. It is usually composed of two angles complementing themselves. Hence, the term complementary angles.

Mathematically;

∴

p + q = 90°    ( complemntary angles)

If one of the angles is 12 more than twice its complement;

i.e.

Let p = 12

SO, the algebraic equation for the value of p is:

12 + 2q = 90

Replacing the value of q to solve the equation, we have:

12 + 2q + q = 90

12 + 3q = 90

3q = 90 - 12

3q = 78

q = 78/3

q = 26°

From p + q = 90°    ( complemntary angles)

Replacing the value of q = 26°, we have:

p + 26° = 90°

p = 90° - 26°

p = 64°

In conclusion, the measure of each angle is 64° and 26°.

Learn more about complementary angles here:

link

∠64° and ∠26°

Step-by-step explanation:

Complementary angles add up to 90° total (two angles).

Lets give variable values to each angle:

x= 12 more than twice the measure of the complement

y= complement

Write an equation equaling to a total of 90:

Write an algebraic expression for the value of x:

Insert the value for x into the equation:

Simplify and solve for y:

The value of y is 26. Insert this value into the original equation and solve for x:

The value of x is 64. So, the complemenatry angles are 64° and 26°.

:Done

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step-by-step explanation: