Question

one of the equal angles of an isosceles triangle is equal to 34 degree, find the measure of other two angles of the triangle.​

Answer 1

Answer:

if one is 34 then other is also 34°

third is 180-(34+34)=180-68=112°

Answer 2

$\bf {\huge {\underline {\boxed {\sf\pink {Answer:\:73°}}}}}$

$\textbf {\underline {\underline {Step-By-Step\:Explanation:}}}$

$\textbf {\purple {\underline {Given:}}}$

• Given triangle is isosceles, i.e two angles of the triangle are equal.
• One angle is 34°

$\textbf {\purple {\underline {To\:Find:}}}$

• The measure of other two angles of the triangle.

$\huge\underline\green {\tt Solution:}$

Let the unknown angle be ' x ' . As they are equal ( Isosceles triangle has two equal angles ) , so other angle will also be ' x ' .

As we know, sum of all angles of a triangle is 180°

So,

34° + x° + x° = 180°

➡ 34° + 2x = 180°

➡ 2x = 180° - 34°

➡ 2x = 146°

➡ x = $\dfrac {146}{2}$

•°• x = 73°

Hence,

Answer: Both the angles are 73°

$\huge\mathscr\green {Verification:}$

It is already stated that the sum of all angles of triangle is equal to 180°.

So,

34° + 73° + 73° = 180°

➡ 34° + 146° = 180°

➡ 180° = 180°

•°• L.H.S = R.H.S

Hence, Proved!