Question

if each of the equal angles of an issosceles traingle is 50 ,find the measure of third angle​

Answer 1

Answer:

The given two equal angles of the ∆ = 50°

Let the third angle = x

According to the question = x + 50 + 50 = 180° (angle sum property)

=> x + 100 = 180

=> x = 180 - 100

=> x = 80° (third angle)

Step-by-step explanation:

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Answer 2

Answer:

Given :

$\sf{First\:angle\:of\:the\:isosceles \:triangle={50}^{\circ}}$

$\sf{Second\:angle\:of\:the\:isosceles \:triangle={50}^{\circ}}$

To find :

$\sf{Third\:angle\:of\:the\:isosceles \:triangle}$

Concept :

Let the third angle be x .

So , two same angles of the isosceles triangle are 50° . And the sum of all angles of the triangle is 180°.

Now , equation will like this :-

$\sf{\boxed{x+{50}^{\circ}+{50}^{\circ}={180}^{\circ}}}$

Solution :

$:\implies \sf{x+{50}^{\circ}+{50}^{\circ}={180}^{\circ}}$

$:\implies \sf{x+{100}^{\circ}={180}^{\circ}}$

$:\implies \sf{x={180}^{\circ}-{100}^{\circ}}$

$:\implies \sf{x={80}^{\circ}}$

So , the third angle is 80° .

Verification :

To verify the answer do the sum of all angles of the triangle if the answer will come 180° . Then the answer will be verified.

$:\implies \sf{{50}^{\circ}+{50}^{\circ}+{80}^{\circ}}$

$:\implies \sf{{180}^{\circ}}$

Hence , the answer is verified.

Answer :

So , third angle of the triangle is 80° .