Question

In the adjoining figure find z and y if PQ II BC​

Answer 1

Correct Anwer
Angle A + Angle B + Angle C
Angle A + 60 deg + 50 deg = 180 deg. ( Angle sum property of a triangle )
Angle A + 110 deg = 180 deg
Angle A = 180 - 110
Angle A = 70 deg

Now,
Angle A + Angle Y + Angle Z = 180 deg. ( Linear Pair )
70 deg + Angle Y + Angle Z = 180 deg
Angle Y + Angle Z = 180 - 70
Angle Y + Angle Z = 110 deg
Angle Y + Angle Z = 110/2
Angle Y = 55 deg
Angle Z = 55 deg

Hope this helps, Pls mark me as brainliest

Answer 2

Answer:

Step-by-step explanation:

This is very simple!

See, In this figure if PQ║BC then AB is a transversal.

∴ ∠Y = 60° ( alternate interior angles)

Thus the same applies for line segment AC.

As AC is another transversal for PQ and BC.

∴ ∠Z = 50° (Alternate interior angles).

Now, finding the measure of the missing angle in the triangle.

Let the missing angle be x.

∴ ∠x = 180° - 110° ( Angle sum property of a triangle)

∴∠x = 70°

Now measure of ∠A would be 180° (straight angle).