Question

Select all of the true statements.

a.angle B is 38 degrees
b.angle A+ Angle B = exterior angle C
c.this is an equilateral triangle
d.2x+38 = 84

Answer 1

To determine which statements are true, let's go through each option: a. Angle B is 38 degrees, b. Angle A + Angle B = exterior angle C, c. This is an equilateral triangle, d. 2x + 38 = 84. The true statements are: d. 2x + 38 = 84.

Step-by-step explanation:

To determine which statements are true, let's go through each option:

1. a. Angle B is 38 degrees: This statement may or may not be true without further information.
2. b. Angle A + Angle B = exterior angle C: This statement is false. The angles within a triangle do not equal the exterior angle.
3. c. This is an equilateral triangle: This statement may or may not be true without further information.
4. d. 2x + 38 = 84: To solve this equation, subtract 38 from both sides: 2x = 84 - 38 = 46. Then, divide both sides by 2: x = 46 ÷ 2 = 23. Therefore, this statement is true.

Based on this analysis, the true statements are: d. 2x + 38 = 84.