Question

One of the two equal angles of an isosceles triangle measures 55 degree. Find the
measure of all the angles of triangle.​

Answer 1

Answer:

70°

Step-by-step explanation:

1st angle = 55°

2nd angle = 55° [ as it is a isosceles triangle]

3rd angle = 180° - (55° + 55°) = 180° - 110° = 70°

HOPE IT HELPS

Answer 2

$\underline{\boxed{\bold{Question}}}$  

↠ One of the two equal angles of an isosceles triangle measures 55°. Find the measure of all the angles of triangle.​

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$\underline{\boxed{\bold{Important\;Information}}}$  

↠ Sum of all interior angles of triangle is equal to 180°

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$\underline{\boxed{\bold{Given}}}$

↠ Measure of one of the equal angle = 55°

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$\underline{\boxed{\bold{Answer}}}$

Let's Start !

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Let the angles be ∠A, ∠B, ∠C

And ∠B = ∠C = 55°

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∴ By given angle sum property

$:\implies \angle A + \angle B + \angle C = 180^{\circ}$

$:\implies \angle A + 55^{\circ} + 55^{\circ} = 180^{\circ}$

$:\implies \angle A = 180^{\circ} - (55^{\circ} + 55^{\circ} )$

$:\implies \angle A = 180^{\circ} - 110^{\circ}$

$:\implies \angle A =70^{\circ}$

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$\boxed{\boxed{\bold{\therefore \angle A =  70^{\circ} }}}$

$\boxed{\boxed{\bold{\therefore \angle B =  55^{\circ} }}}$

$\boxed{\boxed{\bold{\therefore \angle C =  55^{\circ} }}}$

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$\underline{\boxed{\bold{\bigstar \; Verification \; \bigstar}}}$

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↠ Sum of all interior angles = 180°

$:\implies \angle A + \angle B + \angle C = 180^{\circ}$

$:\implies 70^{\circ} + 55^{\circ} + 55^{\circ} = 180^{\circ}$

$:\implies 70^{\circ} + 110^{\circ} = 180^{\circ}$

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

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$\boxed{\bold{LHS = RHS}}$

Hence Verified.

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Hope this helps u.../

【Brainly Advisor】