Work out the size of angle x.
X
140°
105°
Answers
Answer:
- 65
Step-by-step explanation:
x + 140 + 105 = 180
x + 245 = 180
x = 180- 245 = - 65
The size of angle x is 25°.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
As per the given data:
The two external angles are given in the diagram.
Assume angles as ∠1, ∠2 and ∠x in anti-clockwise order.
For finding the angles of the triangle:
∠1 + 105° = 180° {linear pair angles}
∠1 = 75°
∠2 + 140° = 180° {linear pair angles}
∠2 = 80°
Using angle-sum property of a triangle:
∠1 + ∠2 + ∠x = 180°
75° + 80° + ∠x = 180°
∠x = 25°
Hence, the size of angle x is 25°.
To learn more on Triangle, click:
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(The given question is incomplete, the complete question is given below)
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Answers
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