Question

PLS I need help asap

Answer 1

In two triangles with top angles of 58°, 58°, and a common bottom angle of 60°, the corresponding sides are 4x - 6 and 3x + 11. Solving 4x - 6 = 3x + 11 yields x = 17.

Let's break it down step by step:

1. Top angles of both triangles: 58° and 58°.

2. Bottom angle of both triangles: 60°.

3. One side of the first triangle: 4x - 6.

4. Corresponding side of the second triangle: 3x + 11.

Step 1: Set up an equation based on the sum of interior angles in a triangle.

58 + 58 + 60 = 180

Solving for the remaining angle:

176 + 60 = 236

So, the third angle is 180 - 236 = -56. However, since angles cannot be negative, there might be an issue with the given angles. Let's assume the given angles are correct.

Step 2: Set up an equation based on the side lengths of the triangles.

`\[4x - 6 = 3x + 11\]`

Solving for x:

`\[4x - 3x = 11 + 6\]\[x = 17\]`

So, the value of x is 17.