Question

In the given figure , find the angles a, b and c
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Answer 1

Answer:

Hi there ! Answer is Given Below! Hope it helps!

Explanation:

We are going to use Exterior Angle property , where :

Exterior Angle = Sum of its opposite angles

And Angle Sum property , where :

Sum of all sides is 180 degrees

So , let's begin

We will first find the angle a

Its opposite angles are Y and Z and their measures are 70 and 90 degrees

So , a will be

$a = 70 + 90 = 160$

Angle a is 160 degree

Now , as we know , the sum of all angles in a triangle is 180

So , angle c is

$180 - (y + z) =\\ 180 - (70 + 90) \\= 180- 160\\= 20 = c$

Therefore , angle c is 20 degree

Now , we find the measure of angle b

Its opposite angles are Y and C and their measures are 70 and 20

So angle B will be

$b = 70 + 20\\b = 90$

B is 90 degree

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