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2 years ago

Solve for x then find the measure of angle A

Mathematics

2 answers:

IceJOKER [234]2 years ago

5 0

Solution:

Note that:

∠A = 5x + 20
∠B = 9x - 92
∠A + ∠B = 180°

Use the equation "∠A + ∠B = 180°" to solve for x and ∠A.

∠A + ∠B = 180°
=> 5x + 20 + 9x - 92 = 180
=> 14x - 72 = 180
=> 14x = 252
=> x = 252/14
=> x = 18

Now, find ∠A.

∠A = 5x + 20
=> ∠A = 5(18) + 20
=> ∠A = 90 + 20
=> ∠A = 110°

Hoped this helped!

KonstantinChe [14]2 years ago

4 0

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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See expla below

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$17x < 943 - 17x$

Collect like terms

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