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find the measure of angle b. the measure of angle w is 130°. what is th…

Question

find the measure of angle b.
the measure of angle w is 130°. what is the measure of angle b? you can use the equations you just wrote to help. solve on paper if youd like, then enter your answer on zearn.
w = y
c + b = 90
y + c = 180
b = \square

Explanation:

Step1: Find the value of \( y \)

Since \( w = y \) and \( w = 130^{\circ} \), then \( y=130^{\circ} \).

Step2: Find the value of \( c \)

Using the equation \( y + c=180^{\circ} \), substitute \( y = 130^{\circ} \).
So \( 130^{\circ}+c = 180^{\circ} \), then \( c=180^{\circ}-130^{\circ}=50^{\circ} \).

Step3: Find the value of \( b \)

Using the equation \( c + b=90^{\circ} \), substitute \( c = 50^{\circ} \).
So \( 50^{\circ}+b = 90^{\circ} \), then \( b=90^{\circ}-50^{\circ}=40^{\circ} \).

Answer:

\( 40^{\circ} \)