Question

Geometry find the measure

Answer 1

The measure of two acute angles are
`63\textdegree` and
`25\textdegree`.

The triangle shown here is a right-angled triangle with measure of
`90\textdegree`,
`(5x+3)\textdegree` and
`(3x-9)\textdegree`. We know that the sum of angles in a triangle is
`180\textdegree`.

Hence,

90+(5x+3)+(3x-9)=180

90+8x-6=180

8x=180-84

8x=96

x=96/8

x=12

Substituting the value of x we get:

5(12)+3=60+3=
`63\textdegree`

3(12)-9=36-9=
`25\textdegree`

Therefore the measure of two acute angles are
`63\textdegree` and
`25\textdegree`