ANGLE BISECTOR AND SUPPLEMENTARY ANGLES WORKSHEET

Problem 1 :

Which angles are named in the pictures below.

Solution

Problem 2 :

If m ∡ABD = 22° and m ∡DBC = 53°, then find m ∡ABC.

Solution

Problem 3 :

Find m ∠1 and m ∠2

Solution

Problem 4 :

Find m∠ABC if BD is an angle bisector.

Solution

Problem 5 :

Find m ∠ABC if BD is an angle bisector.

Solution

Problem 6 :

If m∠1 = (2x + 45)° and m∠2 = (5x - 45)°, find m∠1.

Solution

Problem 7 :

What is the supplement of a 56° angle?

Solution

Problem 8 :

If ∡A and ∡B are supplementary, and m ∡A = (7x + 16)°, and m ∡B = (9x - 12)°. Write the equation you would use to find x.

Solution

1)  The acute angles are ∠HOP and ∠POE.

2)  ∡ABC = 75°

3)  ∠2 = 58°

4)  m∠ABC = 104°

5)  a = 15, m ∠ABC = 146°

6)  m∠1 = 105°

7)   124°

8)  11

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