Question

click and drag to draw a ray from the yellow dot. to redraw, click and drag from the yellow dot again. m∠qrs = 80° m∠qrt = 40° m∠srt = 40° which of the following statements is true? answer 2(m∠qrt)=m∠qrs m∠qrs = m∠qrt m∠qrt = 2(m∠srt) 2(m∠qrt)=m∠srt

Explanation:

Step1: Identify given angle - measures

$m\angle QRS = 80^{\circ}$, $m\angle QRT=40^{\circ}$, $m\angle SRT = 40^{\circ}$

Step2: Check each option

For the option $2(m\angle QRT)=m\angle QRS$, substitute the values: $2\times40^{\circ}=80^{\circ}$, which is True.
For the option $m\angle QRS = m\angle QRT$, $80^{\circ}
eq40^{\circ}$, False.
For the option $m\angle QRT = 2(m\angle SRT)$, $40^{\circ}
eq2\times40^{\circ}=80^{\circ}$, False.
For the option $2(m\angle QRT)=m\angle SRT$, $2\times40^{\circ}=80^{\circ}
eq40^{\circ}$, False.

Answer:

$2(m\angle QRT)=m\angle QRS$