Question

pls help i cant solve

Answer 1

$\huge\mathbb{ANSWER:}$

To find :

• Measure of x in each case

Solution : 1

x and 42° lies on a same straight line and thus form a straight angle(measure=180°).

x + 42° = 180° [Linear Pair]

x = 180° - 42°

x = 138°

$\boxed{\bf\red{x=138°}}$

Solution : 2

x+105° and x lies on a straight line

(x+105°) + (x) = 180° [Linear pair]

x + 105° + x = 180°

2x = 180° - 105°

2x = 75°

x = 75°/2

x = 37.5°

$\boxed{\bf\red{x=37.5°}}$

Solution : 3

Four angles x°,x°,90°,(x/2) form a complete angle of measure 360°

Thus, sum of these all angles is 360°

x° + x° + 90° + (x/2) = 360°

2x + x/2 = 360° - 90°

$\rm\frac{4x+x}{2}$ = 270°

$\tt\frac{5x}{2}$ = 270°

5x = 270° × 2

5x = 540°

x = 540°/5

x = 108°

$\boxed{\bf\red{x=108°}}$

Answer 2

Find:

angle or measure of x in every figure

Solution: 1

x and 42° lies on a same straight line and

thus form a straight angle(measure=180°).

x + 42° = 180° [Linear Pair]

x = 180° -42°

X = 138°

x=138°

Solution : 2

x+105° and x lies on a straight line

(x+105°) + (x) = 180° [Linear pair]

x + 105° + x = 180°

2x = 180° 105°

2x = 75°

x = 75°/2

x = 37.5°

x = 37.5°

Solution : 3

Four angles x,x°,90°,(x/2) form a complete

angle of measure 360°

Thus, sum of these all angles is 360°

X° + x° + 90° + (x/2) = 360°

2x + x/2 = 360° - 90°

4x+x÷2 = 270°

5x÷2 = 270°

5x = 270° x 2

5x = 540°

x = 540°/5

X = 108°

x = 108°