Question

Find the measure of ZPTH.M7p + 16IT4p + 30Р

Answer 1

We are given the measures of two angles in the form of linear equations. According to the graph, the measure of both angles is 90°. therefore, we can establish an equation and find the variable "p", from there we can replace that variable in the equation for the required angle.

The sum of the angles is:

`7p+16+4p+30=90`

we add like terms, like this

`11p+46=90`

substracting 46 on both sides we get

`\begin{gathered} 11p+46-46=90-46 \\ 11p=44 \end{gathered}`

Dividing each side by 11

`p=(44)/(11)=4`

Now that we have the value for "p" we can replace it in the equation for angle PTH, like this

`\angle PTH=4p+30`
`\angle PTH=4(4)+30=46`

Therefore angle PTH is 46