a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
#SPJ1
168/7
=24•7/7
=24
The answer is 24
This question is incomplete no ocitures
Answer:
The coordinates of S is ( 4 , -20 )
Step-by-step explanation:
To solve this you figure out how ( 0 , 4 ) relates to ( 2 , -8 ).
You can see that the 0 was added by 2, and the 4 was subtracted by 12 to make ( 2 , -8 ).
Now that you see how they relate, you can find the next point by repeating this pattern.
2 + 2 = 4
-8 - 12 = -20
( 4 , -20 )
I hope this helped! :)
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