Which pair of angles are congruent? A) 1 and 8

B) 4 and 6

C) 5 and 6

D) 1 and 7

Option A

Step-by-step explanation:

Two parallel lines and a transversal line intersecting these lines have been given in the picture.

Option (A)

∠1 ≅ ∠8 [Alternate exterior angles]

Option (B)

m∠4 + m∠6 = 180° [Consecutive interior angles]

Therefore, m∠4 ≠ m∠6

Option (C)

m∠5 + m∠6 = 180° [linear pair of angles are supplementary]

Therefore, m∠5 ≠ m∠6

Option (D)

m∠1 + m∠7 = 180° [Corresponding exterior angles]

Therefore, ∠1 ≠ ∠7

Option (A) is the answer.

6/20

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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