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geometry help if you can​

Geometry Help If You Can class=

Sagot :

Answer:

MSR=100

STQ=80

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

∠ PTS = ∠ NST are vertical angles and are congruent , then

19x + 5 = 17x + 15 ( subtract 17x from both sides )

2x + 5 = 15 ( subtract 5 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

∠ NST = 17x + 15 = 17(5) + 15 = 85 + 15 = 100° , so

∠ MSR = ∠ NST = 100° ( vertical angles )

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∠ STQ and ∠ NST are same- side interior angles and sum to 180° , then

∠ STQ + 100° = 180° ( subtract 100° from both sides )

∠ STQ = 80°

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