Use the diagram to the right angle and angle are acute angle

Use the diagram to the right. angle and angle are acute angles. angle and angle right angles. angle is an obtuse angle, and angle is a straight angle. angle and angle CAB are supplementary, m angle DAC =, and m angle m angle EAC =

Solution

15) Acute angles are angles which measure less than 90 degrees, from the figure it is visible that m(DAC) and m(CAB) are acute angles.
16) Given that m(DAE) = 90, we know that m(DAE) +m(DAB)=180.
Therefore m(DAB)=90.
m(DAE) and m(DAB) are right angles.
17)m(EAC) is an obtuse angle as it is greater than 90 degrees and m(EAB) is a straight angle.
18) Supplimentary angles add up to 180 degrees and complimentary add up to 90 degrees.
Hence, m(EAC) and m(CAB) are supplimentary
m(DAC) and m(CAB) are complimentary
19)From above we get that m(DAC)=60 and m(EAC)=90+60=150