Question

In the given figure , find x.
50 70 find x ​

Answer 1

Answer:

Given ∠BAC=56

o

∠ACD=123

o

[Straight angle]

∴∠ACB=180

o

−∠ACD=180

o

−123

o

=57

o

Consider △ABC,

By Angle Sum property, i.e, sum of all interior angles of a triangle =180

o

⇒∠A+∠B+∠C=180

o

⇒56

o

+x+57

o

=180

o

∴x=67

o

Step-by-step explanation:

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Answer 2

In triangle ABC,

<A=50°

<B=90°(Angle in a semicircle is right)

<A=50, So <D=50°(Angles in a same arc are equal)

In triangle BDC

<D=50°

<CBD=70°

So <C=180-(70+50)

=180-120

=60°

Value of x=<C

=60°

Hence the value if x=60°

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