First of all, we need to know what is supplementary angle is. It's means that two angles add together to get 180° angle. For examples, 135° and 45° angles add together called supplemtary angles. Now, we know Supplementary angles with measures (2x+4) and (3x+1), so (2x+4)+(3x+1)=180 2x+4+3x+1=180 Combining like terms 2x+3x+4+1=180 5x+5=180 Subtract 5 to each side 5x+5-5=180-5 5x=175 Divided 5 to each side 5x/5=175/5 x=35° Next, find the measure of two angles by substitute x=35° with (2x+4) and (3x+1), so 2x+4 =2(35)+4 =70+4 =74°
(3x+1) =3x+1 =3(35)+1 =105+1 =106°. As a result, the two supplementary angle are 106° and 74°. Hope it help!
The parallelogram is 45 square meters. Multiply the base by the height. The triangle is 36 square meters. Multiply the base by the height and divide by two. Thus, the answer is 81.
