Question

In a 6-sided shape with 5 angles given (98°, 155°, 100°, 120°, and 140°), the last angle is to be found by (x+10)°. What is the measure of the last angle?

Answer 1

In a 6-sided shape with 5 given angles, the measure of the last angle can be found by subtracting the sum of the given angles from 360 degrees.

Step-by-step explanation:

In a 6-sided shape, the sum of all angles is always 360 degrees. Given that 5 angles are already given (98°, 155°, 100°, 120°, and 140°), we can find the last angle by subtracting the sum of the given angles from 360 degrees. Let's calculate:

1. Sum of the given angles: 98° + 155° + 100° + 120° + 140° = 613°
2. Last angle: 360° - 613° = -253°

The measure of the last angle is -253°.