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Angle 1 and Angle 5

Step-by-step explanation:

If angles are complementary, they add up to 90 degrees...

Angles 1, 5, and 6 add up to 180 degrees, as they are on a line. We know that Angle 6 is a right angle, meaning it is 90 degrees, which means...

Angle 1 + Angle 5 + 90 = 180

Subtract 90 from both sides

Angle 1 + Angle 5 = 90

Therefore they are complementary

Why the others are wrong

Angle 3 and Angle 5 : Angle 3 is already 90 degrees, so it cannot have a complement

Angle 3 and Angle 1 : Angle 3 is already 90 degrees, so it cannot have a complement (same as above)

Angle 4 and Angle 6: Angle 6 is already 90 degrees, so it cannot have a complement

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950