Question

Solve for the value of q.

Answer 1

`\huge\text{Hey there!}`

`\huge\textsf{Guide to follow:}`

`\bullet\large\textsf{ A supplementary angles (}\angle\large\textsf{) is equal to 180}^\circ\\\bullet\large\textsf{ A complementary angles (}\angle\large\textsf{) is equal to 90}^\circ`

`\star \large\textsf{ The current angel that you are working with is a \boxed{\mathsf{supplementary \ angle \ (\angle)}}}}\\\large\textsf{so that means means \large\textsf{that your angle is equal to \boxed{\mathsf{180 ^\circ}}}}`

`\huge\textsf{What does your equation look like?}`

`\mathsf{(78) + (5q + 2) = 180}`

`\huge\textsf{How we solve for your equation?}`

`\mathsf{(78) + (5q + 2) = 180}`

`\mathsf{78 + 5q + 2 = 180}`

`\large\textsf{COMBINE the LIKE TERMS}`

`\mathsf{(78 + 2) + (5q) = 180}`

`\mathsf{78 + 2 + 5q = 180}`

`\mathsf{80 + 5q = 180}`

`\large\textsf{Simplifying}`

`\mathsf{5q + 80 = 180}`

`\large\textsf{SUBTRACT 80 to BOTH SIDES}`

`\mathsf{5q + 80 - 80 = 180 - 80}`

`\large\textsf{Simplify it:}`

`\mathsf{5q = 180 - 80}`

`\mathsf{5q = 100}`

`\large\textsf{DIVIDE 5 to BOTH SIDES}`

`\mathsf{(5q)/(5) = (100)/(5)}`

`\large\textsf{Simplify it:}`

`\mathsf{q = (100)/(5)}`

`\mathsf{q = 20}`

`\huge\textsf{So, what does mean your answer should be?}`

`\huge\text{Therefore, your answer should be: \boxed{\mathsf{q = 20}}}\huge\checkmark`

~

Answer 2

q = 20

Explanation:

The two angles shown in the image are supplementary angles which means their sum is equal to 180°

We can find the value of q using the following equation:

78 + 5q + 2 = 180 add like terms

80 + 5q =180 subtract 80 from both sides

5q = 100 divide both sides by 5

q = 20