At point , two lines intersect forming four angles. Let and the vertically opposite…

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

At point QQ, two lines intersect forming four angles. Let ∠AQB=(6y−14)∘\angle AQB=(6y-14)^\circ and the vertically opposite angle ∠CQD=(4y+26)∘\angle CQD=(4y+26)^\circ. (i) Determine the value of yy. (ii) Find the measure of all four angles at QQ.

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