Question

Can two obtuse angles form a linear pair of angles?

Answer 1

Step-by-step explanation:

I hope it helps you.

We know obtuse angles are angles whose sum is greater than 90°.

So let's take three pairs of obtuse angles of any degree.

Pair 1:

∠ a = 95° and ∠ b = 91°

On adding ∠ a and ∠ b; we get:

∠ a + ∠ b = 95° + 91° = 186°

Pair 2:

∠ p = 100° and ∠ q = 99°

On adding ∠ p and ∠ q; we get:

∠ p + ∠ q = 100° + 99° = 199°

Pair 3:

∠ x = 140° and ∠ y = 110°

On adding ∠ x and ∠ y; we get:

∠ x + ∠ y = 140° + 110° = 250°

It can be noticed that sum of the measures of angles in all the pairs is greater than 180° and to form a linear pair sum of measure of angles must be equal to 180°

Hence, we can say that two obtuse angles cannot form a linear pair.

Answer 2

Answer:

no they cannot form an linear pair as it is 180 degree for eg

120+140=260