Find the measure of each marked angle. Assume the lines are parallel.
Two parallel lines that rise from left to right intersect a horizontal line, each forming four angles. Where the line on the left intersects the horizontal line, the top right angle measures
(x plus 1) degrees.
Where the line on the right intersects the horizontal line, the top left angle measures
(4x minus 56) degrees.
left parenthesis x plus 1 right parenthesis degrees(x+1)°
left parenthesis 4 x minus 56 right parenthesis degrees(4x−56)°
(Simplify your answers. Type an integer or a fraction.)
If i read this correctly.....one angle measures ( x + 1)° and the other measures (4x - 56)°
These two angles will sum to 180°
So we have
( x + 1 ) + ( 4x - 56) = 180 simplify
5x- 55 = 180 add 55 to both sides
5x = 235 divide both sides by 5
x = 47
So...one angle measures (47 + 1) = 48°
And the other measures (4 (47) - 56 ) = ( 188 - 56) = 132°