Question

one angle of an isosceles triangle is 100° find measures of other two angles​

Answer 1

Answer:

40and 40

Step-by-step explanation:

isosceles triangle have two angle equal so 100+(40+40)= 180

Answer 2

★ How to do :-

Here, we are given with the measurement of one of the angle of a triangle. We are said that the given triangle is an isosceles triangle, which has two angles and two sides equal. We are asked to find the value of other two angles of the same. Here, we use the concept of an isosceles triangle and the angle sum property of a triangle. We know that sum of all angles in a triangle measure upto 180°. By these properties we will solve the problem. So, let's solve!!

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➤ Solution :-

${\bf \leadsto \underline{\boxed{\bf {Sum \: of \: all \: angles}_{(Triangle)} = {180}^{\circ}}}}$

Substitute the given values.

${\tt \leadsto {100}^{\circ} + x + x = {180}^{\circ}}$

Add the same variables on LHS.

${\tt \leadsto 100 + 2x = 180}$

Shift the number 100 from LHS to RHS, changing it's sign.

${\tt \leadsto 2x = 180 - 100}$

Subtract the values on RHS.

${\tt \leadsto 2x = 80}$

Shift the number 2 from LHS to RHS, changing it's sign.

${\tt \leadsto x = \dfrac{80}{2}}$

Simplify the fraction to get the value of x.

${\tt \leadsto x = 40}$

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${\bf \red{\underline{\boxed{\bf Other \: two \: angle's \: measures = {40}^{\circ}}}}}$

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Hence solved !!