Question

5) In the given figure, l || m and line p is the transversal , find the measure of ∠a and ∠. ​

Answer 1

Answer:

Angle a and b are 40°

Step-by-step explanation:

Because, In the figure, p is a transversal

Therefore, sum of angle a and 140 = 180° i.e a + 140° = 180°

or a = 180° - 140°

And in angle b i.e alternative interior angle of angle a and We know alternative interior angle are equal. Hence angle a = angle b. Proofed

Answer 2

Solution :-

Since P is a transversal . It is a straight line .

So,

→ ∠a + 140° = 180° { Linear pair }

then,

→ ∠a = 180° - 140°

→ ∠a = 40° (Ans.)

also,

→ ∠a = ∠b { Alternate interior angles }

→ ∠b = 40° (Ans.)

Hence, measure of both ∠a and ∠b is 40° .

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