Question

in the given figure if measure of <80° then what is the measure of <2.​

Answer 1

Explanation:

ANSWER

∠POR and ∠QOR form a linear pair,

∴∠POR+∠QOR=180 (Linear pair axiom)

a+b=180 ...........(1)

But a−b=80 ...........(2) [Given]

Adding equations (1) and (2), we get

2a=260

∴a=

2

260

=130

Substituting the value of a in (1), we get

130+b=180

⇒b=180−130=50