Question

in the given figure, l || m and p || q. Find the measure of each of the angles a,b,c,d.
Please answer fast!
With full explanation.
I will mark you as brainliest!​

Answer 1

$\huge\sf\pink{Answer}$

☞ ∠a and ∠c are 65° each

☞ ∠b and ∠d are 115° each

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$\huge\sf\blue{Given}$

✭ l || m

✭ p || q

✭ ∠qal = 65°

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$\huge\sf\gray{To \:Find}$

◈ ∠a , ∠b , ∠c , ∠d?

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$\huge\sf\purple{Steps}$

So here as p || q and l || m abcd be the given quadrilateral then,

➝ ∠qal = ∠bad « Alternate interior angles »

➝ ∠bad = 65°

➝ ∠a = 65°

Then,

»» ∠d + ∠a = 180° « Corresponding angles add up to 180° »

»» ∠d + 65° = 180°

»» ∠d = 180° - 65°

»» ∠d = 115°

Similarly l || m so then,

➳ ∠a + ∠b = 180° « They are corresponding angles »

➳ 65° + ∠b = 180°

➳ ∠b = 180° - 65°

➳ ∠b = 115°

And using the same analogy again,

➠ ∠b + ∠c = 180° « Corresponding Angles again »

➠ 115° + ∠c = 180°

➠ ∠c = 180° - 115°

➠ ∠c = 65°

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Answer 2

Answer:

Angle C is 65degree

Step-by-step explanation:

hope it helps you dear!