Question

19...... ......................a ​

Answer 1

↗↗↗↗ Diagram of the answer ↖↖↖↖

$\underline\bold{To \: Find:-}$

• The measure of ∠x , ∠y and ∠z

$\underline\bold{Given:-}$

• ∠BDC = 100°
• ∠DCE = 60°

$\underline\bold{Solution:-}$

step-by-step explanation:

• The measure of ∠z

⟹ ∠BDC = ∠z = 100° ( alternate angles )

• The measure of ∠x

⟹ ∠DCE = ∠x = 60° ( alternate angles )

• The measure of ∠y

⟹ ∠BDC + ∠x + ∠y = 360°

⟹ 100° + 60° + ∠y = 360°

⟹ 160° + ∠y = 360°

⟹ ∠y = 360 - 160

⟹ ∠y = 200

So, ∠y = 200°

$\underline\bold{Now,Verification}$

∠BDC = 100° ; ∠x = 60° and ∠y = 200°

A . T . Q

⟹ 100° + 60° + 200° = 360°

( 360° is because of complete angle )

⟹ 160 + 200 = 360

⟹ 360 = 360

L.H.S = R.H.S

hence, Proved

$\underline\bold{Required \: Answer}$

• ∠y = 200°
• ∠x = 60°
• ∠z = 100°