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Evgen [1.6K]
3 years ago
10

Integrated math ll I need help ASAP PLEASE

Mathematics
1 answer:
Rainbow [258]3 years ago
3 0

<em>Greetings from Brasil...</em>

We have 2 conditions:

1 - angles opposed by the vertex - the angles are equal

2 - supplementary angles - the sum of the two angles results in 180

2:

(4X + 15) and (5X + 30) are supplementary angles, so:

(4X + 15) + (5X + 30) = 180

9X = 180 - 15 - 30

9X = 135

<h2>X = 15</h2>

1:

(3Y + 15) and (5X + 30) are angles opposed by the vertex, so they are equal

3Y + 15 = 5X + 30

3Y = 5X + 30 - 15

3Y = 5X + 15   <em>above we have already calculated the value of X</em>

3Y = 5.(15) + 15

3Y = 75 + 15

3Y = 90

Y = 90/3

<h3>Y = 30</h3>

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3 years ago
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5 0
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vitfil [10]

Answer:

\large \boxed{69^{\circ}}

Step-by-step explanation:  

                  Let y = m∠Y.

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\begin{array}{rcll}y & = & 3(90 - y) + 6 & \\& = & 270 - 3y + 6 & \text{Distribuetd the 3}\\& = & 276 - 3y & \text{Simplified}\\4y &= & 276 & \text{Added 3y to each side}\\y & = & \mathbf{69} & \text{Divided each side by 4}\\\end{array}\\m \angle Y = \large \boxed{\mathbf{69^{\circ}}}

3 0
3 years ago
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nasty-shy [4]
Your answer is 31/50
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