Question

TRIANGLES
20. In each of the following figures, find the value of x.
D
(ii)
(i)
А
"A
70°
120°
40°
°
с
х
CX
B
B​

Answer 1

Answer:

In each of the following figure AB || CD. Find the value of x in each case.

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ANSWER

Draw a line EF perpendicular to AB and CD passing through M

In △BME

∠BME+∠MBE+∠BEM=180

∘

(Angle sum proprerty)

∠BME+35

∘

+90

∘

=180

∘

∠BME=180

∘

−125

∘

∠BME=45

∘

In △DMF

∠DMF+∠MDF+∠MFD=180

∘

(Angle sum property )

∠DMF+75

∘

+90

∘

=180

∘

∠DMF=180

∘

−165

∘

∠DMF=15

∘

x=∠DMF+∠BME+∠EMF

x=15

∘

+45

∘

+180

∘

x=240

∘

Answered By

toppr

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