Question

Find the angle measures in the given figure:
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Answer 1

Answer:

That is simply.

we need to find all the interior angles to find out the angle X which is an exterior angle.

Before going any further let give names to all the angles.

The top in interior angle is named /1.

The base left interior angle is named /2

The base right interior angle is named /3

here / represents angle. as there is no sign for angle in keyboard.

To find any interior or exterior angle we should known that when an line and other line intersect at a point then that two angles or more formed always equals to 180°

To find /1

125° + /1 = 180°

/1. = 180° - 125°

/1. = 55°

To find /2

125° + /2 = 180°

/2. = 180° - 125°

/2. = 55°

To find /3 is little bit different .

remember

sum of all the angles of an triangle = 180°

So,

/1 + /2 + /3 = 180°

putting the values of the angles

55° + 55° + /3 = 180°

110° + /3 = 180°

/3. = 180° - 110°

/3. = 70°

So /3 = 70°

Therefore angle X.

to find angle X

70° + X = 180°

X. = 180° - 70°

x. = 110°

so your answer is 110°

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