Question

1. In the figure below, ∠A : ∠C = 2:3. What are the measures of ∠C and ∠D ?​

Answer 1

Answer:

180° Answer

Step-by-step explanation:

Solutions

Correct option is B)

let ∠a=2x and ∠b=3x

∠a+∠b=180

∘

(adjacent angles on straight line are supplementary)

⇒2x+3x=180

∘

⇒5x=180

∘

⇒x=

5

180

∘

=36

∘

Now ∠b=3x=3×36

∘

=108

∘

∠c=∠b (Vertically opposite angles)

⇒∠c=108

∘

m∣∣n and l is transversal

∴∠h=∠c (corresponding angles)

⇒∠h=108