A convex polygon has 4 sides what is the sum of the measure of its interior angles? Help me please!!!

360 degrees

Step-by-step explanation:

Use the equation for finding the interior angle sum

sum = (n - 2)x 180, where n is the number of sides

sum = (4 - 2)x 180

sum = 2 x 180

sum = 360

The sum of interior angles for a four-sided figure is always 360 degrees.

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Step-by-step explanation:

Theorem 39: If a convex polygon has n sides, then its interior angle sum is given by the following equation: S = ( n −2) × 180°. ... Theorem 40: If a polygon is convex, then the sum of the degree measures of the exterior angles, one at each vertex, is 360°.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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step-by-step explanation: