Question

Triangle DEF is shown. Angle F is 122 and Angle E is 32. What is the measure of angle D

Answer 1

Step-by-step explanation:

We are given a triangle DEF with the following angle measures;

`\begin{gathered} \angle F=122\degree \\ \angle E=32\degree \end{gathered}`

We can describe this as shown below;

Note that the angles in a triangle sum up to 180 degrees.

We would therefore have the following;

`\angle D+\angle E+\angle F=180`
`\angle D+32+122=180`
`\angle D+154=180`

Subtract 154 from both sides;

`\angle D+154-154=180-154`
`\angle D=26\degree`

ANSWER:

The measure of angle D is;

`\angle D=26\degree`