PQ ∥ RS. Find the value of a + b
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please I need step by step answer
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Step-by-step explanation:
Given that PQ||RS
✷Angle RPQ=Angle SRT {corresponding angles are equal}
•Angle SRT{Angle a}=45°
a=45°
➝Now let us take the triangle PQR
Angle RPQ+Angle PQR+Angle QRP=180°{sum of all angles in a triangle is 180°}
➝45°+55°+x°=180°
➝100°+x°=180°
➝x°=80°
➝Now let us consider the line PRS
Angle PRQ(x)+Angle QRT(angle b)+Angle TRS(angle a)=180{sum of all the angles on a straight line is 180°}
➝80°+Angle QRT+45°=180°
➝125°+Angle QRT=180°
➝Angle QRT=55°
b=55°
☞a+b
☞45°+55°
☞100°
✷The value of a+b=100°
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Answer:
a = 45°.
please mark me as brainliest answer .
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