The measure of one angle is 11 more than 4 times a number another angle is twice the first angle measure the sum of the measures of the angles is 195 degrees what is the measure of each angle in degrees

61° and 122°

Step-by-step explanation:

Set number to n

Measure #1 = 11+4n

Measure #2 = 2(11+4n)=22+8n

Solve for n:

11+4n+22+8n=195

33+12n=195

12n=162

n=12.5

Measure #1 = 11+4(12.5)=61°

Measure #2 = 22+8(12.5)=122°

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

answer: .75 km

step-by-step explanation: