Question

Find B. Pls pls help I'm failing this class I don't know what to show as work but I know the answer is 56. Someone pls just explain or show me how to show the work.

Answer 1

The value of b is 56°.

Explanation:

Finding the angle near 99°,

→ x + 99° = 180°

→ x = 180° - 99°

→ [ x = 81° ]

Forming the equation,

→ 43° + 81° + b = 180°

Then the value of b will be,

→ 43° + 81° + b = 180°

→ 124° + b = 180°

→ b = 180° - 124°

→ [ b = 56° ]

Hence, the value of b is 56°.

Answer 2

• b = 56°

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Consider the triangle on the right half.

It has two interior angles given as 43° and b. Its exterior angle is 99°.

We know that exterior angle measure is sum of remote interior angles:

• b + 43 = 99
• b = 99 - 43
• b = 56