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Answers
Let us draw a parallel line XY to PQ || ST and passing through point R.
•Sum of interior angle on the same side of the transversal is always = 180°
So that
>>∠ PQR + ∠ QRX = 180°
Given that ∠ PQR= 110°
110° + ∠QRX = 180°
∠QRX = 180° -110°
∠QRX = 70°
•Sum of interior angle on the same side of the transversal is always = 180°
∠RST + ∠SRY = 180° (Co-interior angles on the same side of transversal SR)
Also,
>>130° + ∠SRY = 180°
∠SRY = 50°
XY is a straight line. Use property of linear pair we get
>> ∠QRX + ∠QRS + ∠SRY = 180°
70° + ∠QRS + 50° = 180°
∠QRS = 180° − 120°
= 60°
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Answer:
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Let us draw a parallel line XY to PQ || ST and passing through point R.
•Sum of interior angle on the same side of the transversal is always = 180°
So that
>>∠ PQR + ∠ QRX = 180°
Given that ∠ PQR= 110°
110° + ∠QRX = 180°
∠QRX = 180° -110°
∠QRX = 70°
•Sum of interior angle on the same side of the transversal is always = 180°
∠RST + ∠SRY = 180° (Co-interior angles on the same side of transversal SR)
Also,
>>130° + ∠SRY = 180°
∠SRY = 50°
XY is a straight line. Use property of linear pair we get
>> ∠QRX + ∠QRS + ∠SRY = 180°
70° + ∠QRS + 50° = 180°
∠QRS = 180° − 120°
= 60°
PLz MARK ME AS BRAINLIEST