In pentagon PQRST, angle P = 60 and angle Q = 130. Angle S and T are each 3 times as large as angle R. What are the measures of angle S, T, and R? Which 2 sides of the pentagon are parallel?
The sum of the interior angles of a pentagon = 540°
Call the measure of angle R , x ..... so S and T measure 3x each .....and we have
60 + 130 + x + 2 * 3x = 540
190 + 7x = 540 subtract 190 from both sides
7x = 350 divide by 7
x = 50° = R
And S,T measure 3x = 150°
[Sorry.....I do not know how to determine the parallel sides......!!! ]
The sum of the interior angles of a pentagon = 540°
Call the measure of angle R , x ..... so S and T measure 3x each .....and we have
60 + 130 + x + 2 * 3x = 540
190 + 7x = 540 subtract 190 from both sides
7x = 350 divide by 7
x = 50° = R
And S,T measure 3x = 150°
[Sorry.....I do not know how to determine the parallel sides......!!! ]