Question

Can two obtuse angles be supplementary?

Answer 1

`color(blue)("No")`

Explanation:

Considering only positive angular measurement.

Supplementary angles always add up to `180^@`

For an angle `theta`

An obtuse angle implies:

`90^@< theta<180^@`

For two angles:

`theta_1` and `theta_2`

If:

`90^@ < theta_1<180^@`

and:

`90^@ < theta_2<180^@`

Then:

`theta_1+theta_2>180^@`