162k views
1 vote
I need help on this problem! I only need help on 16 please

I need help on this problem! I only need help on 16 please-example-1
I need help on this problem! I only need help on 16 please-example-1
I need help on this problem! I only need help on 16 please-example-2

1 Answer

2 votes

Angle WXZ = 23°

Step-by-step explanation:

Angle WXZ and angle YXZ are complementary angles.

Complementary angles sum up to 90 degrees

Angle WXZ = (2x + 1)°

Angle YXZ = (7x - 10)°

Angle WXZ + Angle YXZ = 90°

(2x + 1)° + (7x - 10)° = 90°

2x + 1 + 7x - 10 = 90

collect like terms:

2x + 7x + 1 - 10 = 90

9x - 9 = 90

add 9 to both sides:

9x - 9 + 9 = 90 + 9

9x = 99

divide both sides by 9:

9x/9 = 99/9

x = 11

Angle WXZ = (2x + 1)° = 2(11) + 1

Angle WXZ = 23°

User Aart Stuurman
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories