Question

Two adjust angles of parallelogram are 3x-4 and 3x+10 . Find the other

Answer 1

Answer:

angles are 83°, 97°, 83°, 97°

Step-by-step explanation:

3x-4+3x+10=180°(sum of adjacent angles of a triangle=180°)

6x+6=180°

6(x+1)=6(30°)

so, x+1=30°

x=29°

1st angle = 3x-4 = 3*29-4 =87-4=83°

2nd angle = 3x+10 = 3*29+10 = 87+10 = 97°

and also 1st angle = 3rd angle

and 2nd angle = 4th angle

Answer 2

Answer:

$3x - 4 + 3x + 10 = 180 \degree \\ \implies \: 6x + 6 = 180 \degree \\ \implies \: 6x = 180 \degree - 6 = 174 \degree \\ \implies \: x = \frac{174}{6} = 29 \degree = x$

$\rm{substituting \: the \: values}$

$3x - 4 = (29 \times 3) - 4 \\ \implies 57 - 4 = 53$

$3x + 10 = (29 \times 3 )+ 10 = 57 + 10 = 67 \degree \:$

So rest two angle will be 67,53