Question

Watch a tutorial One angle of a triangle measures 80°. The other two angles are in a ratio of 2:3. What are the measures of those two angles?

Answer 1

Step-by-step explanation:

2x + 3 x = 100 ( 180-80=100)

5x= 100

x = 20

Angle 1 = 40

Angle 2 = 60

Answer 2

$\sf{ \footnotesize{It \: is \: important \: to \: know \: that \: the \: angles \: in \: a \: triangle \: add \: up \: to \: 180 degrees. \:   Here \: is \: a \: slightly \: different \: way \: of \: doing \: the \: problem:}}$

• Let First angle=80
• second angle = 2x
• the 3rd angle=3x

Set up the equation like this:

1st angle +2nd angle+ 3rd angle=180

$\sf{ \red{Then \: use \: substitution:}}$

2) 80 + 2x + 3x = 180

$\sf{ \orange{Collect \: like \: terms.}}$

80 + 5x =180

$\sf \green{Isolate \: "5x" \: on \: the \: left \: side \: of \: equation \: by \: getting \: rid \: of \: 80 \: from \: both \: sides.}$

$\sf{Then \: solve \: for \: "x" \: by \: dividing \: both \: sides \: of \: the \: equation \: by \: the \: number \: (coefficient) \: next \: to \: it. \: Then \: you \: can \: solve for \: the \: second \: and \: third \: an \: gles \: through \: substitution. }$

hope its help u