Question

6) Find the unknown angles in these figures.
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Answer 1

Angles x=180-(45+92)

=x=180-137=43°

Y=180-(45+43)

Y=180-88=92°

Answer 2

|SOLUTION|

Question:

Find the unknown angles in the figure.

Given:

AB||CD

therefore PD is the transversal.

To Find:

x and y

Answer:

y = 92°(corresponding angles)

In ∆ADC,

x + 45°+ 92° = 180°( sum of all angles in a ∆ = 180°)

=> x + 137° = 180°

=> x = 180° - 137°

=> x = 43°