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Ksivusya [100]
4 years ago
8

A Triangle pqs such that angle psq=68°pq is ptoduced to R such that angle RQS=146° calculate the size of angle SPQ and SQR

Mathematics
1 answer:
Brut [27]4 years ago
3 0

Answer: (i) SPQ = 78^{0}

(ii) SQR = 146°

Step-by-step explanation:

<SPQ = 146 - 68 = 78^{0} ( the exterior angle of a triangle is equal to the sum of the two opposite interior angle )

RQS is the exterior angle

The opposite interior angles are PSQ and SPQ , from the theorem :

PSQ + SPQ = RQS , that is

68 + SPQ = 146

SPQ = 146 - 68

SPQ = 78^{0}

(ii) SQR = RQS

Therefore : SQR = 146°

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