Question

Find the measure of angle b if seven times the complement of angle b exceeds twice the supplement of angle b by 220° in terms of degrees.

a) 50°
b) 70°
c) 35°
d) 45°

Answer 1

To find the measure of angle b, use the given information to set up an equation and solve for b.

Step-by-step explanation:

To find the measure of angle b, let's first translate the given information into an equation. The problem states that seven times the complement of angle b exceeds twice the supplement of angle b by 220°.

So, we can write the equation as 7*(90° - b) = 2*(180° - b) + 220°.

Simplifying the equation, we get 630° - 7b = 360° - 2b + 220°.

Combining like terms, we have 5b = 490°, which means b = 98°.

Therefore, the measure of angle b is 98°.

However, none of the options (50°, 70°, 35°, 45°) matches the solution 10°. This could mean there has been an error in the given options or a misunderstanding of the problem. Nevertheless, based on the algebraic solution provided, none of the original options is correct.