Q9 of 153 Page 166

In the given figure, AB || CD || EF. If ∠ABC = 85°, ∠BCE = x° and ∠CEF = 130°, then x = ?

According to question,

AB || EF

EF || CD (AB is produced to F, CF is traversal)

FEC=130^o

Now, BFC + BFO = 180^o(Sum of angles of Linear pair is 180^o)

BFO = 180^o – 130^o = 50^o

Now in triangle BOF, we have

ABO = BFO + BOF

85 = 50 + BOF

BOF = 85 – 50 =35^o

So, x = ^o

In the given figure, AOB is a straight line. If ∠AOC = 40°, ∠COD = 4x° and ∠BOD = 3xׄ°, then x = ?

The supplement of an angle is six times its complement. The measure of this angle is

In the given figure, AB || CD, ∠BAD = 30° and ∠ECD = 50°. Find ∠CED.

In the given figure, BAD || EF, ∠AEF = 55° and ∠ACB = 25°, find ∠ABC.