The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is three times the measure of the first angle. The third angle is eleven more than the second. Find the measures (in degrees) of the three angles. (Simplify your answers completely.)

m<2 = 62 m<3=73 m<1=45

Step-by-step explanation:

m<2+m<3 =3(m<1)

m<3 = m<2+11

m<2+m<2+11=3(m<1)

2(m<2)+11=3(m<1)

m<1=2/3(m<2)+11/3

m<1+m<2+m<3 = 180

2/3(m<2)+11/3+(m<2)+m<2+11=180

8/3(m<2)+44/3=540/3

8/3(m<2)=496/3

(496/3)*3/8=62

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .