Below is a two-column proof incorrectly proving that the three angles of δpqr sum to 180°: statements reasons draw line zy parallel to segment pq construction m∠zrp + m∠prq + m∠qry = m∠zry angle addition postulate ∠zrp ≅ ∠rpq alternate interior angles theorem ∠qry ≅ ∠pqr alternate interior angles theorem m∠rpq + m∠prq + m∠pqr = m∠zry substitution m∠zry = 180° definition of supplementary angles m∠rpq + m∠prq + m∠pqr = 180° substitution which statement will accurately correct the two-column proof? the measure of angle zry equals 180° by definition of a straight angle. angles qry and pqr should be proven congruent before the construction of line zy. the three angles of δpqr equal 180° according to the transitive property of equality. line zy should be drawn parallel to segment qr.

The statement which completes the proof is,

'The measure of ∠ZRY equals 180° by the definition of a straight angle.

Step-by-step explanation:

According to the question,

the statement which completes the proof is,

'The measure of ∠ZRY equals 180° by the definition of a straight angle.

It should be written instead of the line written as,

'Definition of supplementary angles' in the given question.

The measure of angle ZRY equals 180° by definition of a straight angle.

Step-by-step explanation:

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

step-by-step explanation: