Question

Hlo guy's please help me in this question if you are able to give correct answer then give it
Answer 1) :-x=30° y=80° z=70°
2) :- x=60° y=30° z=90°
please guys solve it correctly with explanation if you can done this correctly I will mark you as brainliest ​

Answer 1

Answer:

Well, you have the answer. I'll try explaining it.

Step-by-step explanation:

(i)

PQ || BC (Given)

∴ ∠PAB = ∠ABC (Alternate interior angles with AB as transversal)

∴ ∠ABC = 30° ⇒ x = 30°.

Similarly,

∠QAC = ∠BCA (Alternate interior angles with AC as transversal)

∴ ∠BCA = 80° ⇒ y = 80°.

The 3 angles in a triangle should add up to 180°.

⇒ In ΔABC, x + y + z =  180°

30° + 80° + z =  180°

110° + z = 180°

z = 70°.

(ii)

PQ || BC (Given)

∴ ∠PAB = ∠ABC (Alternate interior angles with AB as transversal)

∴ ∠ABC = 60° ⇒ x = 60°.

Similarly,

∠QAC = ∠BCA (Alternate interior angles with AC as transversal)

∴ ∠BCA = 90° ⇒ z = 90°.

The 3 angles in a triangle should add up to 180°.

⇒ In ΔABC,

60° + 90° + y =  180°

150° + y = 180°

y = 30°.

Answer 2

Step-by-step explanation:

1. x=30

. y=70

. z= 80

2. x=60

y=30

z=90