Question

The image above shows two congruent triangles. What is the measure of angle y?

Answer 1

20 degree

Explanation:

angle sum of triangle

180-112-48

Answer 2

There are two ways , so the first part reference to method 1 and and second part reference to method 2.

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PART 1 :-

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`\tt In~\triangle ABC:`

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`\tt \angle A + \angle B + \angle C = 180 {}^( \circ)`

{sum of triangle}

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here we can find value of angle C.

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`\dashrightarrow \sf\angle A + \angle B + \angle C = 180 {}^( \circ) \\`

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`\dashrightarrow \sf112 + 48 + \angle C = 180 {}^( \circ) \\`

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`\dashrightarrow \sf160 + \angle C = 180 {}^( \circ) \\`

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`\dashrightarrow \sf\angle C = 180 {}^( \circ) - 160 {}^( \circ) \\`

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`\dashrightarrow \sf\angle C =20^( \circ) \\`

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angle c is congruent to angle f

.°. y = 20°

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PART 2:-

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angle a = angle d

.°. value of x = 112°

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`\tt \angle E + \angle D + \angle F = 180 {}^( \circ)`

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ve can find value of y :-

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`\dashrightarrow \sf x + 48 + y= 180 {}^( \circ) \\`

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`\dashrightarrow \sf112 + 48 +y = 180 {}^( \circ) \\`

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`\dashrightarrow \sf160+y= 180 {}^( \circ) \\`

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`\dashrightarrow \sf y= 180 {}^( \circ) - 160 {}^( \circ) \\`

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`\dashrightarrow \bf y=20^( \circ) \\`