Question

In the figure ABC is a triangle with angleB = 60°. PQ is parallel to BC. Find the measure of angle x and angle y.​

Answer 1

Hello, Buddy!!

ɢɪᴠᴇɴ:-

• In ∆ABC, ∠BAC = 50° & ∠ABC = 60°
• PQ is parallel to BC.

ᴛᴏ ꜰɪɴᴅ:-

• Value of x & y.

ʀᴇQᴜɪʀᴇᴅ ꜱᴏʟᴜᴛɪᴏɴ:-

WKT

Sum of all interior angles in a triangle is 180°

→ ∠BAC+∠ABC+∠ACB = 180°

→ 50°+60°+x = 180°

→ 110°+x = 180°

→ x = 180°-110°

→ x = 70°

• Value of x ☞ 70°

As, PQ||BC & AB is as transversal.

→ ∠ACB = ∠QAC [Alternative Interior Angles]

→ 70° = y

• Value of y ☞ 70°

@MrMonarque♡

Hope It Helps You ✌️

Answer 2

Answer:

1. ans 70° tq
2. 50+60°+x=180°
3. 110°+x=180°
4. x=180°-110°
5. x=70°