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What is the measure of angles x?
- a)30°
- b)60°
- c)90°
- d)45°
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the measure of angles x?a)30°b)60°c)90°d)45°Co...
Since the two sides are equal, the angles opposite to them are also equal.
So x + 45° + 45° = 180° (Angles sum property)
x = 90°
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Community Answer
What is the measure of angles x?a)30°b)60°c)90°d)45°Co...
Solution:
In an isosceles triangle, where two sides are equal, the angles opposite these sides are also equal. This leads us to the following steps:
- Let the equal angles be 45° each.
- According to the angles sum property of triangles, the sum of the angles in a triangle is 180°.
- Thus, we can set up the equation: x + 45° + 45° = 180°.
- Simplifying this gives: x + 90° = 180°.
- Solving for x results in: x = 90°.
Therefore, the measure of angle x is 90°.
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