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29 votes
29 votes
One angle of a right triangle is 2 less than 3 times the size of the other acute angle. What is the measure of each

angle?

User Raviteja
by
2.8k points

1 Answer

22 votes
22 votes

Step-by-step explanation:

Right-angled triangles have one of their angles to be 90°.

Angles in a triangle is 180°

=>The other two angles will sum up to 90°

Let x represent the other acute angle

2 less than 3 times the size of the other acute angle.

3(x)-2=one angle.

Equating both angles to 90°

=> other acute angle + one angle =90°

=> x+3x-2=90°

=>4x-2=90°

=>4x=90-2

=>4x=88

Divide both sides by 4

x=22°

Other acute angle=22°

One angle= 3(22)-2

=>66-2

=>64°

Proof= 22+64+2+90=180°

User Jasper Rosenberg
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3.0k points