SOLUTION: the measure of one angle of a triangle is 28 more than the smallest angle of the triangle. the measure of the third angle is twice the measure of the smallest angle. what are all 3
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Question 161764This question is from textbook Geometry
: the measure of one angle of a triangle is 28 more than the smallest angle of the triangle. the measure of the third angle is twice the measure of the smallest angle. what are all 3 angle measures?
1. Before answering this question, you must know that in any triangle, the sum of all three angles is ALWAYS 180 degrees.
2. You must also know and be able to translate math key words to algebraic form
***is =
***#more than +#
***twice 2*
3. SOLUTION:
let angle x= smallest angle
let angle y= x + 28
let angle z=2x
Since
x+(x+28)+(2x)=180 simplify now
4x+28=180
4x+28-28=180-28
4x=152
4x/4=152/4
x=38
smallest angle = 38
angle y=28+x=28+38=66
angle z=2x=2(38)=76
Check 38+66+76=180
This question is from textbook Geometry
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