1.) write an equation to find the measure of ∠srz & ∠srn. answer

1.) Write an equation to find the measure of ∠srz & ∠srn.

Answer

#1.) Answer:

m srn = 62°Equation: 5x - 27 = 3x + 31

The perimeter of a triangle is 39 inches. Side A is three time longer than Side B. Side C is six inches less than Side B. Write an equation to find each side length.

Answer

#2: Find A, B, and C

Equation: 3b + b + b – 6 = 39 A = 27 in.B = 9 in.C = 3 in.

#2 Answer:

#3.) Write an equation to find the measure of the sum of the angles for the polygon below.

Answer

#3.) Answer:

Equation: d = 180(10 - 2)

1,440°DECAGON

#4.) Chris claims that if a shape has two sets of parallel lines, the shape has to be a parallelogram.

Answer

#4 Answer

Chris is correct because a rhombus, square, rectangle, and parallelogram all have this characteristic. Therefore, all of them are considered parallelograms.

#5.) Write an equation to find x and the 3 missing angles.

105 °

100 °

(3x) °92°

(2x + 40) °

(2x + 40) °

124 °

#5.) Answer:

Equation:2x + 40 + 2x + 40 + 92 + 105 + 3x + 124 + 100 = 900

x = 57(2x + 40)° = 154° (3x)° = 171°

#6.) Adam marked a pair of alternate interior angles green and a pair of corresponding angles red. Is Adam correct?

Answer

un

z

#6 Answer: Adam is not correct on both parts. He marked the pair of corresponding angles correctly, but not the pair of alternate interior angles. Alternate interior angles are congruent and on opposite sides of the transversal.

7.) Write an equation to find the m∠wrb and m∠wrl.

Answer

#7.) Answer:• m ∠wrb = 32˚•m ∠wrl = 148˚• Equation: 6x + 4 + 2x – 16 = 180

8.) Write an equation to find m∠ftb & m ∠btp.

Answer

#8.) Answer:m ∠ftb = 107°m ∠btp = 73° Equation: 5x – 18 = 4x + 7

#9.) Write an equation to find the # of sides in a polygon whose angle measures have a sum of 2,340°.

Answer

#9 Answer:

Equation: 2340 = 180(n – 2)

15 sides

10.) Write an equation to find m lun & m lud.

Answer

u

n

z

d

(3x – 35)°

(2x – 12)°

#10 Answer

m lun = 34° m lud = 146°Equation: 2x – 12 = 3x - 35

#11.) Name 3 things a trapezoid and a parallelogram have in common.

Answer

#11.) Answer:

1.) They both have 4 sides.2.) The sums of their angles are both 360°.3.) They both have at least one pair of parallel sides.

#12.) If m 4 = 40°. What is the measurement of

angle 5? Explain. 1

2

74

38

65

Answer

#12 Answer:

405because it is the alternate exterior

angle to angle 4.

#13.) If m 4 = 40°. What is the measurement of

angle 7? Explain. 1

2

74

38

65

Answer

#13 Answer:

407because it is a vertical

angle to angle 4.

#14.) If m 4 = 40°. What is the measurement of

angle 2? Explain. 1

2

74

38

65

Answer

#14 Answer:

402because it is a corresponding

angle to angle 4.

#15.) If m 4 = 40°. What is the measurement of

angle 3? Explain. 1

2

74

38

65

Answer

#15 Answer:

1403because it is supplementary

with angle 4.