Math, asked by patragayatri098, 8 months ago

isosceles traingle

find the value of x

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Answered by Anonymous

Answer:

$x + x + 100 = 180 = > 2x = 180 - 100 = > 2x = 80 = > x = 40$

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Answered by Brâiñlynêha

★Given :-

One angle of the triangle is 100°
And the triangle is an isosceles triangle

★To find :-

The other two angles of triangle

★ Solution :-

By the properties of isosceles triangle

They have two equal sides
And the angles opposite to equal sides of a triangle are also equal

Name the triangle ABC

In ∆ ABC

$\sf :\implies \angle ABC = \angle ACB= x$

[ angle opposite two equal sides are equal ]

$\underline{\bigstar{\sf\ Sum \ of \ angles \ of \triangle = 180^{\circ}}}$

Now we have 3 angles x ,x and 100°

$\dashrightarrow\sf x+x+100^{\circ}=180^{\circ}\\ \\ \dashrightarrow\sf 2x= 180^{\circ}-100^{\circ}\\ \\ \dashrightarrow\sf x= \cancel{\dfrac{80^{\circ}}{2}}\\ \\ \dashrightarrow\sf x= 40^{\circ}$

$\boxed{\sf\ Other \ two \ angles \ = 40^{\circ} \ and \ 40^{\circ}}$

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isosceles traingle

find the value of x