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Geometry find the measure

Geometry find the measure-example-1

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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

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