Question

I need help with number 15 please and thank you so much

Answer 1

The question is given below as

Concept:

To solve the question above, we will use the linear pair theorem below

The Linear Pair Theorem states that two angles that form a linear pair are supplementary; that is, their measures add up to 180 degrees.

Step 1:

By applying the linear pair theorem, we will have that

`\begin{gathered} 42^0+y+53^0=180^0 \\ 95^0+y=180^0 \\ collect\text{ similar terms, substract 95 from both sides} \\ 95^0-95^0+y=180^0-95 \\ y=85^0 \end{gathered}`

Hence,

The value of y = 85°

Step 2:

We will calculate the value pf x using the linear pair theorem also

`\begin{gathered} x+90^0=180^0 \\ collect\text{ similar terms, subtract 90 from both sides} \\ x+90^0-90^0=180^0-90 \\ x=90^0 \end{gathered}`

Hence,

The value of x = 90°