Question

Please answer these math question..... Fastly...

Answer 1

Answer:

Supplement of x will be 160⁰

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

const: Draw a line QM||ST

Given. angle PQR=110⁰

angle TSR=130⁰

ST||QM

PQ||ST

Finding angle KQR

angle PQR+angle KQR=180⁰. ( linear pair axiom)

110+angle KQR=180

angle KQR=180-110

angle KQR=70⁰

Now,

as ST||QM

angle TSR=angle SKQ. (alternate angle)

angle SKQ=130⁰

Now,

Finding angle QKR

angle SKQ+angle QKR=180⁰

130+angle QKR=180⁰

angle QKR=180-130

QKR=50⁰

Now,

in triangle QRK

angle KQR+angle QKR+angle KRQ=180⁰. (as sum of all angles of triangle is180⁰)

70+50+angleKRQ=180

120+angle KRQ=180

KRQ=180-120

angle KRQ=60⁰

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