Question

In the figure find 'x'​

Answer 1

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

Answer 2

Answer:

/ABC = 180-27-26=127°{angle sum property}

/CBD=180-/ABC= 53°{linear pair}

/BED=180-45-53 = 82°{angle sum property}

x=180-82= 98°{linear pair}