Required Answer
[tex]\huge {\boxed{\sf{∠QSR=66⁰}}}[/tex]
[tex]\huge {\boxed{\sf{∠Q=95}}}[/tex]
Correct Question:
To find of :
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
