Respuesta :

thepingu

Answer:

116°

Step-by-step explanation:

The angles of any triangle will add up to 180°. Since we know the measures of ∠SPR and ∠PRS, we can find the measure of ∠PSR by adding the two measures and subtracting from 180°.

[tex]61+51 = 116[/tex]

[tex]180 - 116 = 64[/tex]

Now we know the measure of ∠PSR. Note that ∠PSR is supplementary to ∠PST, meaning that both values add up to 180. Let's do the math then.

[tex]180-64 = 116[/tex]

This means that the measure of ∠PST is 116°.

Hope this helped!

altavistard

Answer:

116 degrees

Step-by-step explanation:

The sum of all three angles of a triangle is 180 degrees.  Here we know two of these angles immediately:  65 and 51 degrees.  The third is 180 - (65 + 51), degrees, or 64 degrees.

Angle PST and this 64 degree angle form straight angles; their sum is 180 degrees.  We are to find Angle PST.  Do that by subtracting 64 from 180:

Angle PST = 180 - 64 degrees, or 116 degrees.