Math, asked by AnaMantasha, 3 months ago

find the value of x​

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Answers

Answered by swarajdas0000001
1

Answer:

f = x - 100digree

g = x - 30digree

h = x - 60digree

Step-by-step explanation:

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Answered by HIMANIJHA2006
14

Answer:

f) X = 20°

g) X = 30°

h) X = 60°

Step-by-step explanation:

f) <ACB + 100° = 180° (LINEAR PAIR)

<ACB= 180°-100°

<ACB =80°

NOW,

In ∆ABC,

AB=AC (given)

so, <ACB=<ABC (Angle opposite to equal sides are equal)

<C=<B=80°

now, <A + <B +<C =180° (angle sum property of ∆)

x+ 80+80 = 180°

x = 180 - 160

x=20°

________________________

g) <RPQ =30° (vertically opposite angle)

now,

In ∆PQR,

RP=RQ

<RQP=<RPQ (Angle opposite to equal sides are equal)

so, X= <RPQ

X=30°

__________________________

h) <RTS= 60° (VERTICALLY OPPOSITE ANGLES)

NOW,

IN ∆ RST,

RS=ST=TR

SO, ∆RST IS Equilateral triangle

so all angle is equal to 60°

so, X=60°

Hope this helps you!

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