Hughess05
contestada

QS bisects $\angle PQR$ and $m\angle PQR\ =\ 119\degree$ .

Find $m\angle PQS$ and $m\angle RQS$ .

Two rays Q P and Q R begin from a common point Q, to form angle P Q R. Another ray Q S bisects angle P Q R.

$m\angle PQS=$
°

Respuesta :

abidemiokin

Answer:

Step-by-step explanation:

Id QS bisects angle PQR, then <PQS = <SQR and <PQS+<RQS = <PQR

The formula then becomes

<PQS+<PQS = <PQR

2<PQS = <PQR

<PQS = <PQR/2

Given <PQR = 119°

Substitute into the resulting expression above;

<PQS = <PQR/2

<PQS = 119/2

<PQS = 59.5°

Since <RQS = <PQR, hence <RQS is also 59.5°

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