Question

The base of an isoceles triangle is 30 more than the vertical angle . find all the measures of all three angles
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Answer 1

Answer:

The measure of all three angle are 40° , 70° , 70° .

Step-by-step explanation:

Given as :

Step-by-step explanation:

In an isosceles triangle each base angle is 30° greater than the vertical angle.

Let The vertical angle = x°

Let The base angle = y°

According to question

Base angles = vertical angle + 30°

i.e y° = x° + 30°

∵ In any triangle sum of all three angles = 180°

i.e x° + y° + y° = 180°

Or, x + x + 30° + x + 30° = 180°

or, 3 x + 60° = 180°

or, 3 x = 180° - 60°

or, 3 x = 120°

∴ x = \dfrac{120}{3}

3

120

i.e x = 40°

So, base angle = y = 40° + 30° = 70°

Hence, The measure of all three angle are 40° , 70° , 70° . Answer

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