Question

In fig.6, l and m are parallel.
What is the measure of ∠POR?

Answer 1

Answer:

105°☑

Step-by-step explanation:

Given ⤵

• $\angle\:LPO=130°$
• $\angle\:MRO=125°$

To find ⤵

$\angle POR=?$

Solution⤵

⚫We have to draw a line x parallel to l and m.

Now,

➡$\angle$ P+$\angle$ POX= 180°[ Interior angle property]

➡130°+ $\angle$POX=180°

➡$\angle$ POX=180°-130°

➡$\angle$ POX=50°

⚫Similarly,

➡$\angle$ R+$\angle$ ROX= 180° [Interior angle property]

➡125°+ $\angle$ ROX=180°

➡$\angle$ ROX=180°-125°

➡$\angle$ ROX=55°

⚫Now,

➡$\angle$ POR=$\angle$ POX+$\angle$ ROX

➡$\angle$ POR= 50°+55°

➡$\angle$ POR=105°

✅Hence,measure of $\angle$POR is 105°.

Hope this is helpful to you!