Example 1: A right triangle has one other angle that is 35º. What is the size of the third angle?
Solution:
Step 1:A right triangle has one angle = 90°. Sum of known angles is 90° + 35º = 125°.
Step 2:The sum of all the angles in any triangle is 180º. Subtract sum of known angles from 180°. 180° - 125° = 55°
Answer:The size of the third angle is 55°
2 Acute and 2 obtuse
A rhombus have 2 obtuse angles
Depending upon the lengths of the sides it can be an irregular quadrilateral, a rhombus, a parallelogram or a kite.
parallelogram
There is no triangle that has 2 equal obtuse angles because the 3 interior angles of any triangle must add up to 180 degrees and 2 obtuse angles would be over 180 degrees. It is possible for a triangle to have two equal acute angles in which case it would be an isosceles triangle.
2 acute and 2 obtuse
2 Acute and 2 obtuse
With 2 acute and 2 obtuse angles it has 4 angles - the shape is a quadrilateral. The shape can be one of trapezium, parallelogram, rhombus, kite or a general quadrilateral. With the two acute angles next to each other (forcing the two obtuse angles to be next to each other) the shape can be either a trapezium or a general quadrilateral.
A shape that has 2 right angles, 1 acute angle, and 2 obtuse angles is a quadrilateral. One possible example is a right trapezoid, where two angles are right angles, one angle is acute, and the last angle is obtuse. This combination of angles can create various quadrilateral shapes, but they must maintain the sum of interior angles equal to 360 degrees.
No triangle has 2 obtuse angles
Trapezoids can have various angle configurations, but they do not necessarily have to have 2 obtuse and 2 acute angles. A trapezoid can have two acute angles and two obtuse angles, or it can have all angles being right angles in the case of a right trapezoid. The specific angles depend on the type of trapezoid and the lengths of the sides.
Yes, a quadrilateral can have 2 obtuse angles.
No but they can have 2 obtuse and 2 acute angles
A trapezium has 2 obtuse and 2 acute angles.
A rhombus have 2 obtuse angles
A rhombus has 2 obtuse angles
An obtuse triangle has 1 obtuse angle and 2 acute angles