Solve for x then find the measure of angle A
2 answers:
Solution:
<u>Note that:</u>
- ∠A = 5x + 20
- ∠B = 9x - 92
- ∠A + ∠B = 180°
<u>Use the equation "∠A + ∠B = 180°" to solve for x and ∠A.</u>
- ∠A + ∠B = 180°
- => 5x + 20 + 9x - 92 = 180
- => 14x - 72 = 180
- => 14x = 252
- => x = 252/14
- => x = 18
<u>Now, find ∠A.</u>
- ∠A = 5x + 20
- => ∠A = 5(18) + 20
- => ∠A = 90 + 20
- => ∠A = 110°
Hoped this helped!
Answer:
x = 18°, ∠A = 110°
Explanation:
As the lines are parallel, their sums of total interior angle is 180°
∠A + ∠B = 180°
5x +20° +9x-92° = 180°
14x -72° = 180°
14x = 180° + 72°
14x = 252°
x = 18°
Solve for angle A:
∠A = 5x +20°
∠A = 5(18) +20
∠A = 110°
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