Question

from unit 1, lesson 15
which of these sets of angle measures could be the 3 angles in a triangle?
a 40°, 50°, 60°
b 50°, 60°, 70°
c 60°, 70°, 80°
d 70°, 80°, 90°
from unit 1, lesson 14
lines ab and cd are parallel.
find the measures of the following angles. explain your reasoning
a. angle ecd

Explanation:

Step1: Sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Calculate sum for each option

• For option A: \(40^{\circ}+50^{\circ}+60^{\circ}=150^{\circ}

eq180^{\circ}\)

• For option B: \(50^{\circ}+60^{\circ}+70^{\circ}=180^{\circ}\)
• For option C: \(60^{\circ}+70^{\circ}+80^{\circ}=210^{\circ}

eq180^{\circ}\)

• For option D: \(70^{\circ}+80^{\circ}+90^{\circ}=240^{\circ}

eq180^{\circ}\)

Answer:

B. \(50^{\circ},60^{\circ},70^{\circ}\)