The measure of angle Q is 70 degrees. Find the measure of angle P.

The measure of angle P is 55 degrees.

The given image is an isosceles triangle. An  isosceles triangle is a three sided polygon that has two equal angles. Angles in a triangle add up to 180 degrees.

The triangle is an  isosceles triangle because of the two lines on the triangle.

<p + <r + <q = 180 degrees

70 + <r + <q = 180

<r + <q = 180 - 70

<r + <q = 110

<r + <q = 110/2 = 55

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40 degrees

Step-by-step explanation:

It would be 40 degrees because every triangle will add up to 180 degrees. Angle Q and R are equal (pulled from the sign that the two lines from P are equal) So 180 - 70 = 110 - 70 = 40

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be