Question

7. BX is the bisector of ZABC which
forms a linear pair with ZABD. If
LABC = 80°, then what is the
measure of ZXBD?
O 140°
O 100°
O 80°
O 40°​

Answer 1

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

Step-by-step explanation:

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