Question

Part A: what is the measure of QRS?
Part B; what is the measure of Q?

Answer 1

QRS = 66° and Q = 95°

Explanation:

Answer 2

Required Answer

`\huge {\boxed{\sf{∠QSR=66⁰}}}`

`\huge {\boxed{\sf{∠Q=95}}}`

Correct Question:

To find of :

• ∠QSR
• ∠Q

Explanation:

∠QSR+∠QRT=180⁰

Reason:

linear pair

.°. ∠QSR+114⁰=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

Can also be done as follows:

To find value of ∠QSR first we have to find y

y⁰+(5y)⁰=114

Reason:

exterior opposite angle is equal to sum of interior angles

6y=114

y=114/6

y=19

y⁰+(5y)⁰+∠QSR=180⁰

Reason:

sum of angles of triangle =180⁰

6y+∠QSR=180⁰

6×19+∠QSR=180⁰

114+∠QSR=180⁰

∠QSR=180⁰-114⁰

∠QSR=66⁰

From second part we get the value of y

.°.∠Q=5×19

∠Q=95