find the value of x
Answers
Answer:
f = x - 100digree
g = x - 30digree
h = x - 60digree
Step-by-step explanation:
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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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