Respuesta :

Answer:

<R = 158

Step-by-step explanation:

Supplementary angles equal 180 degrees.

<Q + <R =180

22 + <R = 180

Subtract 22 from each side

22-22 + <R = 180-22

R = 158

Answer:

Option 2 -  [tex]\angle R=158^\circ[/tex]

Step-by-step explanation:

Given : [tex]\angle Q[/tex] supp [tex]\angle R[/tex] and [tex]\angle Q=22^\circ[/tex]

To find : [tex]\angle R[/tex] ?

Solution :

Supp means the supplementary angle.

We know that,

The sum of two supplementary angle is 180°.

i.e. [tex]\angle Q+\angle R=180^\circ[/tex]

Substitute [tex]\angle Q=22^\circ[/tex],

[tex]22+\angle R=180^\circ[/tex]

[tex]\angle R=180-22[/tex]

[tex]\angle R=158[/tex]

Therefore, [tex]\angle R=158^\circ[/tex]

So, option 2 is correct.