Question

Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj

Answer 1

Answer:

The obtuse angle is 120°.

The acute angle is 60°.

Step-by-step explanation:

This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.

We can form the expression

$A = \frac{O}{2}$

Where $A$ is an acute angle and $O$ is an obtuse angle.}

Using all the given information, we have

$O + \frac{O}{2}=180\°$

Solving for $O$, we have

$\frac{3O}{2}=180\\ O=120\°$

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.