Question

Find the Value. Please help

Answer 1

The value of y is 36

The value of w is -13

Calculating the value of angles

From the given question, we are to determine the value of y

From the given information,

We have that line b is parallel to line c

Then,

74° + (2y + 34)° = 180°

Solve for y

(2y + 34)° = 180° - 74°

2y° + 34° = 106°

2y° = 106° - 34°

2y° = 72°

y° = 72°/2

y° = 36°

Hence, y = 36

In the second diagram,

72° + ∠ACB + ∠BCD = 180° (Sum of angles on a straight line)

From the given information,

BC bisects ∠ACD

Thus,

∠ACB = ∠BCD

Then, we can write that

72° + ∠BCD + ∠BCD = 180°

72°  + 2 × ∠BCD = 180°

2 × ∠BCD = 180° - 72°

2 × ∠BCD = 108°

∠BCD = 108°/2

∠BCD = 54°

Since line j is parallel to line k

Then,

(2w + 80)° = ∠BCD (Corresponding angles)

(2w + 80)° = 54°

2w° + 80° = 54°

2w° = 54° - 80°

2w° = -26°

w° = -26°/2

w° = -13°'

Hence, w = -13

Learn more on Calculating the value of angles here: brainly.com/question/21369105

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