Question

Construct an angle such that m∠PQR = 45°.Construct ∠ABC ≅ ∠PQR and write steps of construction.

Answer 1

Answer:

angel abc=45degree because sss

Answer 2

$\angle PQR = 45\ degree$ and $\angle ABC$≅$\angle PQR$ as shown in the figure.

Step-by-step explanation:

Given,

Construct an angle such that $\angle PQR = 45\ degree$ and also construct

$\angle ABC$≅$\angle PQR$

Following steps:

• Draw an angle $90\ degree$ such that $\angle XQR=90\ degree$ using protector.
• Bisect the $\angle XQR$ such that $\angle PQR = 45\ degree$ as shown in the figure.
• Draw a line $BC$ using scale.
• Take $B$ as center and $QS$ as radius draw an arc.

• $D$ as center and $ST$ as radius draw an arc which cuts point Z
• Join $BE$ and extend it like $BA$

Hence, $\angle PQR = 45\ degree$ and $\angle ABC$≅$\angle PQR$ as shown in the figure.