Mathematics
Grade9
Easy

Question

Find the value of x.

  1. 70˚
  2. 60˚
  3. 80˚
  4. 90˚

hintHint:

I n space a n space i s o s c e l e s space t r i a n g l e comma space t h e space t w o space e q u a l space s i d e s space a r e space c a l l e d space l e g s comma
a n d space t h e space t h i r d space s i d e space i s space c a l l e d space t h e space b a s e.
T h e space a n g l e space f o r m e d space b y space t h e space t w o space e q u a l space s i d e s space i s space c a l l e d space t h e space v e r t e x space a n g l e.
space T h e space o t h e r space t w o space a n g l e s space a r e space c a l l e d space b a s e space a n g l e s

The correct answer is: 70˚


    70 to the power of o comma space i s space t h e space c o r r e c t space c h o i c e
e q u a l space s i d e s space c o r r e s p o n d i n g space a n g l e space left parenthesis f a c i n g space a n g l e right parenthesis space s h o u l d space b e space s a m e space
a l s o space comma
g i v e n space t r i a n g l e space i s space a n space i s o s c e l e s space t r i a n g l e space
b a s e space a n g l e space s h o u l d space b e space s a m e space
w e space k n o w space t h a t space s u m space o f space i n t e r i o r space a n g l e space o f space a space t r i a n g l e space equals space 180 to the power of o
s o space x space plus space x plus space 40 space equals space 180
2 x space equals space 180 space minus space 40
2 x space equals space 140
x space equals 140 over 2 space equals space 70
s o space x space equals space 70 to the power of o space i s space t h e space a n s w e r

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