Question

please tell the answer.​

Answer 1

Given:-

• ABCD is a Parallelogram.
• AC is the diagonal of the given parallelogram.
• ∠ACD = 40° & ∠ACB = 30°

To Find:-

• Value of a,b & c

Solution:-

a = ∠ACB [Alternative Interior Angles]

• $\pink{\sf{a = 30°}}$

In ∆ACD

→ ∠ACD+∠DAC+∠CDA = 180° [Angle Sum Property of a ∆le]

→ 40°+30°+c = 180°

→ c = 180°-70°

→ c = 110°

• $\red{\sf{c = 110°}}$

WKT

✯ In a Parallelogram opposite angles are equal

c = b

• $\green{\sf{b = 110°}}$

$\Large{✓}$

Hope It Helps You ✌️