Question

B 7. In the given figure, find the measure of ZBAC.​

Answer 1

Hello,Buddy!!

Given:-

• In ∆ABC, AB = 7cm, BC = 6cm, ∠ABC = 50° & ∠BAC = 2x
• In ∆A'B'C', A'B' = 7cm, B'C' = 6cm, ∠A'B'C' = 50° & ∠B'A'C' = x+30°

To Find:-

• Measure of ∠B'A'C'.

Required Solution:-

In ∆ABC & ∆A'B'C'

→ AB = A'B' [Given]

→ BC = B'C' [Given]

→ ∠ABC = ∠A'B'C' = 50° [Given]

∆ABC ≅ ∆A'B'C' [By SAS Axiom]

By CPCT, ∠BAC = ∠B'A'C'

→ 2x = x+30°

→ 2x-x = 30°

→ x = 30°

In ∠B'A'C'

→ x+30°

→ 30°+30°

→ 60°

• Value of ∠B'A'C' ➪ 60°

@MrMonarque♡

Hope It Helps You ✌️ [tex][/tex]

Answer 2

Step-by-step explanation:

Measure of ∠B'A'C'.

Required Solution:-

In ∆ABC & ∆A'B'C'

→ AB = A'B' [Given]

→ BC = B'C' [Given]

→ ∠ABC = ∠A'B'C' = 50° [Given]

∆ABC ≅ ∆A'B'C' [By SAS Axiom]

By CPCT, ∠BAC = ∠B'A'C'

→ 2x = x+30°

→ 2x-x = 30°

→ x = 30°

In ∠B'A'C'

→ x+30°

→ 30°+30°

→ 60°

Value of ∠B'A'C' ➪ 60°