Question

Find the measure of the unknown angle in the following figure
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Answer 1

Answer:

From the figure

a=d are vertically opposite angles

d=f are corresponding angles

f=110

0

are vertically opposite angles

So we get

a=d=f=110

0

We know that

e+110

0

=180

0

are co-interior angles

e=180−110=70

0

b=c are vertically opposite angles

b=e are corresponding angles

e=g are vertically opposite angles

So we get

b=c=e=g=70

0

Therefore a=110

0

,b=70

0

,c=70

0

,d=110

0

,e=110

0

,f=110

0

and g=70

0

Answer 2

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⇒ GIVEN :

• ∆ ABC is an isosceles triangle.

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⇒ ANSWER :

lets find x

• x + x + 90 = (sum of interior triangle)

• x + x + 90 = 180°

• 2x + 90 = 180°

• 2x = 180 - 90

• 2x = 90

• x = 45°

lets find y

• according to the question AB ll DC

• So,

• x° = y°

• y = 45°

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⇒ FINAL ANSWER :

$\implies\huge\boxed{\sf{x = 45 \degree}}$

$\implies\huge\boxed{\sf{y= 45 \degree}}$

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