Q.) The measure of one of the angles of a triangle is twice the measure of its smallest angle and the measure of the other is thrice the measure of the smallest angle. find the measure of the three angles.
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Step-by-step explanation:
Let the measure of the smallest angle be x°.
One of the angles is twice the measure of the smallest angle.
∴ Measure of that angle = 2x° Another angle is thrice the measure of the smallest angle.
∴ Measure of that angle = 3x°
∴ The measures of the remaining two angles are 2x° and 3x°.
Now, x° + 2x° + 3x° = 180° [Sum of the measures of the angles of a triangle is 180°]
∴ 6x = 180 ∴ x = 180 ∴ x = 180/6
∴ x° = 30° The measures of the remaining angles are 2x° = 2 x 30° = 60°
3x° = 3 x 30° = 90°
The measures of the three angles of the triangle are 30° , 60° and 90°.
Answer:
mistake give deep knowledge a chance to improve your work success only comes to those who work hard for it, when you talk you are only repeating something you know but if you listen you may learn something new nothing is particularly hard if break it down into small jobs if you get tired learn to rest not quit.