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Lubov Fominskaja [6]
2 years ago
14

Please help 50 points

Mathematics
1 answer:
yulyashka [42]2 years ago
6 0

Answer:

m∠RQS = 109°

Step-by-step explanation:

<u>Angles on a straight line sum to 180°</u>.

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°

Learn more about angles here:

brainly.com/question/27954070

brainly.com/question/20180986

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