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28 votes
28 votes
The measure of ∠BQS is 78°. What is m∠NQS? *picture of the question is at the bottom*

The measure of ∠BQS is 78°. What is m∠NQS? *picture of the question is at the bottom-example-1
User TommyG
by
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2 Answers

15 votes
15 votes

Answer:

30°

Explanation:

∠NQS + ∠BQN = ∠BQS

Knowing this information, we use the known measures to find ∠NQS

∠NQS + 48° = 78°

∠NQS = 78° - 48°

∠NQS = 30°

Thus, angle NQS is 30 degrees.

Hope this helps!

User Jeremy Gurr
by
3.0k points
23 votes
23 votes

Explanation:

BQS=78

BQN=48

BQS+BQN=78+48=126

180-126=54°

NQS=54°

comfirm=BQN+BQS+NQS=180

48+78+54=180

User Alex Ilyin
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2.9k points