COMPLEMENTARY AND SUPPLEMENTARY ANGLES WORKSHEET

Find the Value of x in Each Complementary Angle Pair

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Problem 9 :

When viewed from the side, the frame of a ball-return net forms a pair of supplementary angles with the ground. Find m∠BCE and m∠ECD.

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Problem 10 :

∠LMN and ∠PQR are complementary angles. Find the measures of the angles when m∠LMN = (4x − 2)° and m∠PQR = (9x + 1)°.

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Problem 11 :

a) Name a pair of adjacent complementary angles.

b) Name a pair of adjacent supplementary angles

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Problem 12 :

Two angles form a linear pair. The measure of one angle is twice the measure of the other angle.

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Problem 13 :

Two angles form a linear pair. The measure of one angle is 1/3 the measure of the other angle.

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Problem 14 :

The measure of an angle is nine times the measure of its complement.

Solution

Find the Value of x in Each Supplementary Angle Pair

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Problem 9 :

Two angles form a linear pair. The measure of one angle is five times the measure of the other angle. Find the measure of each angle.

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Problem 10 :

Find the measure of each angle, ∠EFG and ∠LMN are supplementary angles, m∠EFG = (3x + 17)°, and m∠LMN = ((1/2) x − 5)°

Solution

Problem 11 :

Find the angle measure if ∠5 is a supplement of ∠6, and m∠5 = 78°. Find m∠6.

Solution

Problem 12 :

Find the angle measure if ∠7 is a supplement of ∠8, and m∠7 = 109°. Find m∠8.

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Problem 13 :

Find the measure of each angle.

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Problem 13 :

The arm of a crossing gate moves 42° from a vertical position. How many more degrees does the arm have to move so that it is horizontal?

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Problem 14 :

The measure of one angle is 3° more than 1/2 the measure of its supplement.

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Problem 15 :

Two angles form a linear pair. The measure of one angle is 15° less than 2/3 the measure of the other angle.

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Problem 1 :

Angles G and H are complementary. If m∠G = 3x + 6 and m∠H = 2x - 11. what is the measure of each angle?

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Problem 2 :

The measures of angles A and B are supplementary. What is the measure of each angle?

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Problem 3 :

An angle is five its supplement. Find both angles.

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Problem 4 :

An angle is 74 degrees more than its complement. Find both angles.

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Problem 5 :

The supplement of an angle exceeds the angle by 60 degrees. Find both angles.

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Problem 6 :

Find the number of degrees in an angle which is 42 less than its complement.

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Problem 7 :

Find the number of degrees in an angle which is 120 less than its supplement.

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Problem 8 :

The complement of an angle is 30 less than twice the angle. Find the larger angle.

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Problem 9 :

Angles A and B are complementary. If m∠A = 3x - 8 and m∠B = 5x + 10, what is the measure of each angle

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Problem 10 :

Angles Q and R are supplementary. If m∠Q = 4x + 9 and m∠R = 8x + 3, what is the measure of each angle?

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