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
A parallelogram, a rhombus, an (asymmetric) trapezium, and 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.
No triangle has 2 obtuse angles
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
no,it can have a maximum of 2 obtuse angles
A parallelogram, a rhombus, an (asymmetric) trapezium, and a kite.