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4 votes
B
A
y+2
y+10
C
130°
D
Help me bro T~T

B A y+2 y+10 C 130° D Help me bro T~T-example-1
User Thousight
by
8.3k points

1 Answer

4 votes

The Missing values are:

x=19

Angle B = 29 degrees

Angle A = 21 degrees

A triangle with angles B, A, and C, and you're given some relationships between these angles:

B = y + 10

A = y + 2

C = 130°

The sum of the angles in any triangle is always 180 degrees. So, you can set up an equation using the given angles:

B + A + C = 180

Substitute the expressions for B, A, and C:

(y + 10) + (y + 2) + 130 = 180

Combine like terms:

2y + 12 + 130 = 180

2y + 142 = 180

Subtract 142 from both sides:

2y = 180 - 142

2y = 38

Divide both sides by 2:

y = 38 / 2

y = 19

Now that you've found y, you can substitute it back into the expressions for B and A:

B = y + 10

B = 19 + 10

B = 29

A = y + 2

A = 19 + 2

A = 21

User Petri Tuononen
by
8.1k points

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