Given:
In a right angle triangle θ is an acute angle and .
To find:
The value of .
Solution:
In a right angle triangle,
We have,
It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.
By using Pythagoras theorem,
In a right angle triangle,
Therefore, the value of is
.
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6.
Step-by-step explanation
Find the diagram attached
First you must note that the sum of two supplementary angles is 180°
Also, since the sum of angle on a straight line is 180°, the angles that are supplementary must lie on the same straight line.
Based on the diagram, the pair of angles that lies on the same straight line are ∠4 and ∠3, ∠4 and ∠5 and ∠3 and ∠6. If that is the case, hence this angles are supplementary.
