Question

find the measure of x​

Answer 1

Answer:

L ACB= 180°-125°

= 55°

L CAB= 180°-125°

= 55°

Now, L X= L CAB+ L ACB

= 55°+55°

= 110°

So, x= 110°

Please Note- L means angle

Step-by-step explanation:

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Answer 2

In this question, we shall use two formulas:

Angle Sum Property (All 3 angles in a triangle always add up to 180*)

Supplementary Angles (2 angles on the same side of a straight line sharing one arm, add up to 180*)

Now, the outer angle ∠C is 125*, therefore the inner angle ∠will be = 180*- 125* = 55*

Outer angle ∠A is 125*, therefore the inner angle ∠A will be = 180* - 125* = 55*

Now, by angle sum property

∠A + ∠B + ∠C = 180*

55* + ∠B + 55* = 180*

∠B = 180*-(55*+55*)

∠B = 70*

Now, ∠x = 180* - ∠B (Supplementary Angles)

∠x = 180* - 70*

∠x = 110*

Hope this helped! If you have any further questions, feel free to ask!

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