Question

In AABC, D and E are mid-points of sides AB and AC respectively. If angle A = 100"
and angle AED 30°, then B is:
a) 30
b) 40
c) 50
d) 80
​

Answer 1

Answer:

In △ABC, D and E are mid points of sides AB and AC respectively. If ∠BAC = 60° and ∠ABC = 65° then ∠ABC is:

A) 125°

B) 75°

C) 105°

D) 130°

Correct Answer:

A) 125°

Description for Correct answer:

According to the question,

⇒ D and E are the mid point of side AB and AC respectively

⇒ So, DE || BC

[from thales theorem]

⇒So, ∠ABC=∠ADE=65∘

⇒∠CED=∠ADE+∠DAE

[External angle theorem in △ADE]

⇒∠CED=60∘+65∘

=125∘