Answer:
m∠RQS = 109°
Step-by-step explanation:
Angles on a straight line sum to 180°.
Therefore:
⇒ m∠RQS + m∠SQT = 180°
⇒ (15x + 4) + (10x + 1) = 180
⇒ 15x + 4 + 10x + 1 = 180
⇒ 15x + 10x + 4 + 1 = 180
⇒ 25x + 5 = 180
⇒ 25x + 5 - 5 = 180 - 5
⇒ 25x = 175
⇒ 25x ÷ 25 = 175 ÷ 25
⇒ x = 7
Now that we have found the value of x, substitute this into the expression for m∠RQS:
⇒ m∠RQS = 15(7) + 4
= 105 + 4
= 109°
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