Question

An isosceles triangle has two angles both equal to x. The third angle is 45 degrees bigger than either of these. Find the value of x.

Answer 1

45°

Explanation:

• An isosceles triangle has two angles both equal to x. The third angle is 45 degrees bigger than either of these. Find the value of x.

• Let's turn the question into an equation

180 = x + x + x + 45

180 - 45 = 3x

135 = 3x

x = 135 : 3

x = 45°

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check

180 = 45 + 45 + 45 + 45

180 = 180

same value the answer is good

Answer 2

Let's use the fact that the sum of the angles of a triangle is always 180 degrees to solve this problem. Let the two equal angles be x, then the third angle is x + 45.Let's add all the angles together:x + x + x + 45 = 180Simplifying this equation, we get:3x + 45 = 180Now, we need to isolate the variable on one side of the equation. We can do this by subtracting 45 from both sides of the equation:3x = 135Finally, we can solve for x by dividing both sides of the equation by 3:x = 45Therefore, the value of x is 45 degrees.