∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ?
1 answer:
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Answer:
m∠P=140°
Step-by-step explanation:
Given:
∠P and ∠Q are supplementary angles.
The measure of angle P is five less than four times the measure of angle Q.
To find m∠P
Solution:
The measure of angle P can be given as:
A)
And
B) [Definition of supplementary angles]
Substituting equation A into B.
Solving for
Using distribution:
Simplifying by combining like terms.
Adding 20 to both sides.
Dividing both sides by 5.
Substituting in equation B.
Subtracting both sides by 40.
Thus, we have:
m∠P=140° (Answer)