9) If US and 100° form a linear 1 point pair. What is the measure of ZS O (A) 180° O (B) 120° O (C) 90° O (D) 80°​

Question

9) If US and 100° form a linear 1 point
pair. What is the measure of ZS
O (A) 180°
O (B) 120°
O (C) 90°
O (D) 80°​

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Lydia 1 month 2021-08-14T20:47:19+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-14T20:48:58+00:00

    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

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