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MATH / In triangle PQR, point T is on PR and point S is on PQ such that TS∥RQ. The measure of ∠RPQ is 65^(∘), and the measure of ∠TSQ is 145^(∘). What is the measure of ∠PRQ?

Problem

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problem

In triangle PQRPQR, point TT is on PRPR and point SS is on PQPQ such that TS∥RQTS \parallel RQ. The measure of ∠RPQ\angle RPQ is 65∘65^{\circ}, and the measure of ∠TSQ\angle TSQ is 145∘145^{\circ}. What is the measure of ∠PRQ\angle PRQ?
Plain-text mathematical notation (without MathML)
In triangle PQR, point T is on PR and point S is on PQ such that TS∥RQ. The measure of ∠RPQ is 65^(∘), and the measure of ∠TSQ is 145^(∘). What is the measure of ∠PRQ?
Original LaTeX notation
In triangle $PQR$, point $T$ is on $PR$ and point $S$ is on $PQ$ such that $TS \parallel RQ$. The measure of $\angle RPQ$ is $65^{\circ}$, and the measure of $\angle TSQ$ is $145^{\circ}$. What is the measure of $\angle PRQ$?

level

Level 4

type

Prealgebra

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Source and history

task_id
419bfede-2346-52d0-8385-8bed8cb92e5d
task_key
prealgebra--test--419bfede-2346-52d0-8385-8bed8cb92e5d
task_revision_id
1
config / split
prealgebra / test

Official source

initial import