Question

14. An exterior angle of a triangle is 2 points
106°and its two interior opposite
angles are equal.Each of these
angle is
37
O 53°
O 74
O 46°​

Answer 1

Given:-

One exterior angle of triangle is 106°.

It's opposite interior angles are equal.

To find:-

Measure of interior angles.

Solution:-

Let , Both interior angles be 'x'.

We know that,

Sum of two interior angles of triangle is equal to one exterior angle.

So,

⇒x + x = 106°

⇒2x = 106°

⇒x = 106°/2

⇒x = 53°.

Verification:-

⇒x + x = 106°

Put x = 53°

⇒53° + 53° = 106°

⇒106° = 106°

Hence, Verified.

We have taken x to be interior angles

Therefore,

Both interior angles of triangle are of 53°.

Answer 2

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Oᴘᴛɪᴏɴ ⓐ

⇨ ʟᴇᴛ ᴛᴡᴏ ᴀɴɢʟᴇs = ᥊°

⇨ ᥊ + ᥊ = 106°

⇨ 2᥊ = 106°

⇨ ᥊ = 53 °

⇨ sᴏ ʙᴏᴛʜ ᴀɴɢᴇʟ ᴍᴇᴀsᴜʀᴇs = 53°

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