What is the measure of the third angle of a triangle if one angle measures 35 degrees and the second angle measures 40 degrees?

Step-by-step explanation: It's important to understand that the sum of the measures of the interior angles of a triangle is always 180 degrees.

So let's first add up the measures of the two angles we know.

So we have 30 + 4 which is 75 degrees.

The missing angle will be equal to 180 minus 75.

So the missing angle measure is 105 degrees.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3