Question

Help me with geometry!!!!!!

Answer 1

20) m∠6 = m∠7 because they are vertical angles.

7x - 24 = 5x + 14

• Add 24 to both sides.

7x = 5x + 38

• Subtract 5x from both sides.

2x = 38

• Divide both sides by 2.

x = 19

• Plug 19 for x into either m∠6 or m∠7.

m∠6 = 7(19) - 24 = 109

m∠6 and m∠7 = 109°

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21) m∠4 + m∠5 = 90 because they are complementary angles.

(2x - 5) + (4x - 13) = 90

• Combine like terms.

6x - 18 = 90

• Add 18 to both sides.

6x = 108

• Divide both sides by 6.

x = 18

• Plug 18 for x into m∠4 and m∠5.

m∠4 = 2(18) - 5 = 31°

m∠5 = 4(18) - 13 = 59°