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ArbitrLikvidat [17]
3 years ago
6

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

Mathematics
2 answers:
umka21 [38]3 years ago
8 0

Answer:

QRS = 66° and Q = 95°

Step-by-step explanation:

Doss [256]3 years ago
7 0

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

<u>∠QSR=66⁰</u>

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

<u>∠QSR=66⁰</u>

From second part we get the value of y

.°.∠Q=5×19

<u>∠Q=95</u>

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