Three angles of a quadrilateral are 75°, 90° and 75°. What is the measure of the fourth angle? No spam..I want step-by-step explanation

the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.

x+75°+75°+90°=360

×+240°=360°

x=360°-240°

x=120°

We know, by angle sum property, the sum of angles of a quadrilateral is 360°.

The given angles are 75°,90°and 75°.

Let the fourth angle be x°

Then,

75°+90°+75°+x° = 360°

⇒360° - (75°+90°+75°) = x°

⇒x° = 360° - 240° = 120°

x° = 120°

Therefore, the fourth angle is x° = 120°

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