PLEASE ANSWER THIS QUESTION I NEED THIS ASAP THANKYOU
Two angles are supplementary. The first angle measures 4x – 1 and the second angle measures 5x – 8. Find the measure of the x.
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PLEASE ANSWER THIS QUESTION I NEED THIS ASAP THANKYOU
Two angles are supplementary. The first angle measures 4x – 1 and the second angle measures 5x – 8. Find the measure of the x.
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Answer:
x = 21
∠1 = 83°
∠2 = 97°
Step-by-step explanation:
A "supplementary angle" in a definition is two angle's sum is 180°. We can use this to translate to a mathematical equation, which is:
180° = ∠1 + ∠2
The given in the problem is:
∠1 = 4x - 1
∠2 = 5x - 8
Substitute the givens into the equation:
180° = (4x - 1) + (5x - 8)
180° + 1 + 8 = 4x + 5x
189 ÷ 9 = 9x ÷ 9
21 = x ⇒ value of x
With this, we can find the measures of the two angles:
∠1 = 4x - 1
∠1 = 4(21) - 1
∠1 = 83°
∠2 = 5x - 8
∠2 = 5(21) - 8
∠2 = 97°
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