Question

To the given figure angkeQRX is the exterior angle of
triangle PQR. Name the following in triangle PQR.
(a) Interior adjacent angles of angle QRX.
(b) Interior opposite angles of angle QRX.​

Answer 1

Answer:

in the ∆ PQR we have angle QRX = exterior angle .

1) Interior adjacent angle of ORX is QRP and we can find that angle by subtracting 180- Angle QRX

2) Interior opposite angle of angle QRX is Angle PQR

Answer 2

a.Interior adjacent angle of angle QRX=Angle QRP

b.Interior opposite angles of angle QRX are angle QPR and angle RQP.

Step-by-step explanation:

$\angle QRX$ is the exterior angle of triangle PQR

a.Interior adjacent angle of angle QRX

From figure we can see that

The side QR is common between angle QRX and angle QRP and vertex R is common.Therefore,

Angle QRX and QRP are adjacent angles

Hence, interior adjacent angle of angle QRX=Angle QRP

b.We know that

Sum of opposite angles=Measure of exterior angle

Angle QRX=Angle RQP+angle QPR

Hence, interior opposite angles of angle QRX are angle QPR and angle RQP.

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