Question

[3 ] I Choose the correct option. (1 mark each) 1.1. If one of the pair of corresponding angles formed by two parallel lines intersected by a transversal has measure equal to 127°, then the measure of the other angle is a. 127° b. 279 I c. 530 d. 739​

Answer 1

Answer:

(a). 127 is a wright answer

Answer 2

Solution :-

we know that,

• When two parallel lines are intersected by a transversal , the angles which are at intersection of parallel lines and transversal and on same side are called corresponding angles .
• Corresponding angles are congruent(equal) to each other .

from image we can see that, 4 pair of corresponding angles are :-

• ∠1 = ∠5
• ∠3 = ∠7
• ∠2 = ∠6
• ∠4 = ∠8

now, given that,

→ one pair of corresponding angles measure = 127°

say ∠1 = ∠5 are equal to 127° .

then,

→ ∠1 + ∠3 = 180° (Linear pair angles)

→ 127° + ∠3 = 180°

→ ∠3 = 180° - 127°

→ ∠3 = 53°

therefore,

→ ∠3 = ∠7 = 53° (Ans.)

also,

→ ∠2 = ∠6 = 53°

→ ∠4 = ∠8 = 127° .

Learn more :-

In ABC, AD is angle bisector,

angle BAC = 111 and AB+BD=AC find the value of angle ACB=?

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