(a) the given triangle is a isosceles triangle, therefore the two leg sides will be congruent, as well as the two base angles. It is given that one of the base angles ∠XYW is 70°, therefore, due to the law of a isosceles triangle, the measurement of ∠XWY is also 70°. Remember, a triangle's interior angles add up to 180°, so:
180 - (70 + 70) = 180 - 140 = 40
40° is your answer.
m∠X = 40°
(b) All sides are congruent, making it a equilateral triangle. If it is a equilateral triangle, then all the angles also have the same measurement. The total of the interior angle's measurement is 180°. Divide by the amount of angles, 3:
180/3 = 60
60° is your answer.
m∠V = 60°
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Answer:
x = 34
Step-by-step explanation:
Add together all three angles because together they equal 180 degrees
x + 12 + x + 100 = 180 Combine like terms
2x + 112 = 180
- 112 - 112 Subtract 112 from both sides
2x = 68 Divide both sides by 2
x = 34
If you post the work, then we might be able to help
Answer:
If you are looking for x it equals 80 degrees
Step-by-step explanation:
vertical angles are congruent
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