# Answer to Question #322 in Geometry for marta s

Question #322
Can a triangle contain (a) two obtuse angles, (b) one obtuse angle and one right angle, (c) two right angles?
1
2010-06-22T04:55:34-0400
The property of a triangle: the sum of all angles in the triangle is equal to 180&deg;.

(a) obtuse angles &ndash; the angles which are larger than a right angle and smaller than a straight angle (between 90&deg; and 180&deg;) =&gt; their sum will be more then 180&deg;. So a triangle can not contain two obtuse angles.

(b) obtuse angle &ndash; the angle which is larger than a right angle and smaller than a straight angle (between 90&deg; and 180&deg;), the right angle is equal to 90&deg; =&gt; their sum will be more then 180&deg;. So a triangle can not contain one obtuse angle and one right angle.

(c) right angles are both equal to 90&deg;, so their sum is equal to 180&deg; =&gt; the third angle should be equal to 0. So a triangle can not contain two right angles.

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!