Question

5. Find the unknown angle x in each of the following figures.
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Answer 1

Answer:

ext angle is equal to sum of two opp int angles

Step-by-step explanation:

128=62+x..,...128-62=x......,...x=66

Answer 2

Answer:

In fig. a

angle CBA = x = ?

angle FAE = 62°

angle BAC = angle FAE = 62°(vertically opposite angle)

by the "exterior angle equal to sum of its two adjacent interior angles"property

angle CBA + angle BAC = angle ACD

x + 62° = 128° (exterior angle)

x = 128° -62°

x = 66°

In fig. b

By angle sum property (sum of all interior angle of ∆ = 180°)

angle MLK = x + 25°

angle LKM + angle KML + angle MLK = 180°

65° + 57° + x + 25° = 180°

x + 147° = 180°

x = 180° - 147

x = 33°

In fig c

let angle QRP = y

y + 110° = 180° (linear property)

y = 180°-110°

y = 70°

now, by the "exterior angle equal to sum of its two adjacent interior angles"property

angle QRP + angle RQP = x

70° + 30° = x

100° = x

x = 100°

Hope it helps you •_•