4. In PQR, PQ = PR, P = x + 10° and Q = 4x -5°, then find each of the angles of PQR.
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Step-by-step explanation:
Since PQ=PR angle Q=angle R
- therefore P+Q+R=180
- (linear pair)
- Substitute the values
- (x+10)+(4x-5)+(4x-5)=180
- 9x=180
- x=180/9
- x=20
- angle P=30
- angle Q=75=angle R
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