Question

Find each lettered angel measure

Answer 1

a = 64°

b = 138.7°

Explanation:

First, Let's find the measure a,

• 180° = 116° + a
• 180 - 116 = a
• a = 64°

______

Now,

• 90° + a + 82° + x + x + x = 360°
• 90+ 64 + 82 + 3x = 360°
• 236 + 3x = 360
• 3x = 124/ 3
• x = 41.3°

______

Now that we found out what x equals, let's find 'b'-

• b + x = 180°
• b + 41.3 = 180
• b = 180 - 41.3
• b = 138.7°