Francis C.

asked • 10/25/24

In ΔQRS, start overline, Q, S, end overline QS ​ is extended through point S to point T, m∠QRS=(3x+20) ∘ , m∠RST=(6x+18) ∘ . Find m∠QRS.

In ΔQRS, start overline, Q, S, and end overline QS ​ is extended through point S to point T, m∠QRS=(3x+20) ∘ , m∠RST=(6x+18) ∘ . Find m∠QRS.

Mark M.

Review your post for accuracy. If the measure of exterior angle is equal to the sum of the measures of the two remote interior angles is the topic then one of the interior angles is missing.
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10/25/24

Brenda D.

tutor
Do you happen to have a diagram or link to such of the situation you described? If so can you upload it here or provide a link? It would be good to see if the measure of angle RST is supplementary to the measure of angle RSQ along line QT.
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10/26/24

1 Expert Answer

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William W. answered • 10/26/24

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Your problem might look like this:

But unfortunately, there is not enough information to solve the problem. If you knew the measure of angle Q you could plug that in as well as "3x + 20" for angle R and "6x + 18" for angle RST and solve for "x". Then you could plug "x" into "3x + 20 to get the measure of angle R

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Brenda D.

tutor
William W looks like measure of angle RSQ + measure of angle RST might =180 in your drawing since they are adjacent and Supplemental along QT. If the measure of angle RSQ were set equal to x then substituting x + 6x + 18 = 180. Is that what you intended to show?
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10/26/24

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