Question

on a math test the student were given a right traingle. one of the acute angles has a measure of 46 degrees. one student says that the measure of the other acute angle is 134 degrees. what is the measure of the other acute angle? what error might the student have made?.... please I need help right now

Answer 1

For visual help, draw a right triangle with an acute angle of 46°:

Since the sum of the internal angles of a triangle is 180°, then:

`46+90+\text{?}=180`

since 46+90=136, then:

`\begin{gathered} 136+\text{?}=180 \\ \Rightarrow?=180-136 \\ \Rightarrow?=44 \end{gathered}`

Therefore, the other acute angle has a measure of 44°.

The student may have forgot to include the angle of 90° into account, thinking that the remaining angle should add up to 180° with the 46° angle, without adding the 90° from the third angle.