Question

please solve the questions immediately​

Answer 1

Answer:

50°

Step-by-step explanation:

As PQ||BC,

X=angleACB (Alternate interior angles)

Answer 2

Answer:

x = 50° ; y = 60°

Step-by-step explanation:

Given, PQ || BC

from the given figure,

we can assume that AB be a transversal thro' PQ and BC

so, ∠PAB and ∠CBA are alternate angles

and hence,

∠PAB = ∠CBA ( ∵ alternate pair of angles are equal )

=> y = 60°

similarly, we can assume that AC be a transversal thro' PQ and BC

so, ∠QAC and ∠BCA are alternate angles

and hence,

∠QAC = ∠BCA ( ∵ alternate pair of angles are equal )

=> x = 50°

EXTRAs

in ΔABC, ∠B = 60° and ∠C = 50°

we know , in a triangleABC, ∠A+∠B+∠C = 180°

here,∠A+60°+50° = 180°

=> ∠A+110° = 180°

=> ∠A = 180° - 110°

=> ∠A = 70°

ie, ∠BAC = 70°