Question

82 A exterior angle of a triangle is 1000
and its interior opposite angles are
equal what will be the measure of these
equal angles​

Answer 1

Correct question :

A exterior angle of a triangle is 100° and its interior opposite angles are equal what will be the measure of these equal angles

Solution :

Given : A exterior angle of a triangle is 100° and its interior opposite angles are equal

To find : The measure of these equal angles

Answer :

We know by exterior angle property of a triangle that the sum of opposite interior angles of a triangle are equal to the exterior angle .

Let the opposite interior angle be x and we know that both are equal so therefore both have a measure of x°

By exterior angle property ,

= x + x = 100

= 2x = 100

=x =$\sf\dfrac{100}{2}$

= x = 50°

Thus both angles measure as 50°

Answer 2

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$\huge{♛ \: ᗩᑎՏᗯᗴᖇ \: ♛}$

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$ᴡᴇ \: ᴋɴᴏᴡ \: ᴛʜᴀᴛ,$

❥ Տᑌᗰ Oᖴ IᑎTᗴᖇIᗴOᖇ OᑭᑭOՏITᗴ ᗩᑎᘜᒪᗴ = ᗴ᙭TᗴᖇIOᖇ ᗩᑎᘜᒪᗴ Oᖴ TᖇIᗩᑎᘜᒪᗴ .

ՏO,

$\implies \huge\bold{x + x = 100}$

$\implies \huge \bold{2x = 100}°$

$\implies \huge \bold{x = \frac{ \cancel{100} \: {}^{50} }{ \cancel{2}} }$

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$\huge \red \star \tt{{ \: \: x = 50°}}$

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