Posted by miles on Tuesday, October 26, 2010 at 9:16pm.
the three angles of a triangle are 3x,x+10, and 2x40. Find the size of the smallest angle in a triangle

algebra  jai, Tuesday, October 26, 2010 at 9:40pm
recall that the sum of the interior angles of any triangle is 180 degrees,, thus:
3x + (x+10) + (2x40) = 180
6x  30 = 180
6x = 210
x = 35
therefore, the angles are:
3x = 3(35) = 105
x+10 = 35+10 = 45
2x40 = 2(35)40 = 30
..and the smallest angle is 30 degrees
so there,, :)
Answer This Question
Related Questions
 Math algebra  The sum of the measures of the angles of a triangle is 180° Find ...
 math  The sum of the 3 angles of a triangle is 180 degrees. In triangle PQR, ...
 algebra  The angles in a triangle are such that the measure of one angle is 10...
 Honors Geometry  In a proof, I am given that Triangle GCF is congruent to ...
 Math  One angle of a triangle is 45* greater than the smallest angle, and the ...
 MATH  The ratio of two angles of a triangle is 3:2.The remaining angle is the ...
 Algebra  In a triangle ABC, angle B is three times angle A and angle C is 5 ...
 Math (please help!!)  Which of the statements about the picture below is true? ...
 math  One interior angle of a triangle has a measure that is equal to the sum ...
 Geometery  For triangle MNP, find the value of x and the measure of each of the...
More Related Questions