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How many degrees are in a triangle?

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360 °

90 °

180 °

120 °

answer is C.

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Detailed Solution

Draw a

ΔXYZ

and line

(a)

parallel to

YZ

As we know that,

∠ 1 + ∠ YXZ + ∠ 2 = 180 ° (Sum of ∠ s on a straig h t line is 180 °)

— (|)
We also know that, line

(a)

∥

to YZ. So,

∠ 1 = ∠ XYZ (∵ Alternate interi or angle)

∠ 2 = ∠ XZY

Putting value of

∠ 1 = ∠ XYZ, ∠ 2 = ∠ XZY

in equation (|) we get,

∠ 1 + ∠ YXZ + ∠ 2 = 180 °

∠ XYZ + ∠ YXZ + ∠ XZY = 180 °

Hence, there is

180 °

in a triangle.

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