Question

HELP ME :(

2. Look at the sketch shown below. What are the measures of the two angles in the sketch?​

Answer 1

So you got
`(4x-15)` and
`x`

We know it will equal 180 total so you will do

`(4x-15)+x=180`

Add 15 to each side

`4x+x=195`

`5x=195`

Divide each side by 5

`x=39`

So if X equals 39, your only possible answer is H

Answer 2

Option H) 39⁰ and 141⁰ is the correct answer.

Step-by-step Step-by-step explanation:

Here, we can see that the given sletch is a linear pair and we know that sum of linear pair of angles is 180⁰.

Then,

`\sf{\dashrightarrow{(4x - 15) \degree + x \degree = 180 \degree}}`

`\sf{\dashrightarrow{(4x + x) - 15 \degree = 180 \degree}}`

`\sf{\dashrightarrow{5x - 15 \degree = 180 \degree}}`

`\sf{\dashrightarrow{5x = 180 \degree + 15 \degree}}`

`\sf{\dashrightarrow{5x = 195\degree}}`

`\sf{\dashrightarrow{x = (195)/(5)}}`

`\sf{\dashrightarrow{x = \cancel(195)/(5)}}`

`\sf{\dashrightarrow{x = 39 \degree}}`

Hence, the value of x is 39⁰.

Now,

• x = 39⁰
• (4x - 15⁰) = 141⁰

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