Question

if 3x-3 and 5x+7 are the angles of a linear pair, find their measurement

Answer 1

Answer:

angles are 63degree and 117 degree

Step-by-step explanation:

$3x - 3 + 5x + 7 = 180$

$8x + 4 = 180$

$8x = 180 - 4$

$8x = 176$

$x = \frac{176}{8}$

$x = 22$

$so \: first \: angle = 3 \times 22 - 3$

$= 63degree$

$second \: angle = 5 \times 22 + 7$

$= 117degree$

Answer 2

For 2 angles which are linear pair, their sum must be exactly 180°.

Calculation :-

3x - 3 + (5x + 7) = 180°

⇒3x + 5x - 3 + 7 = 180°

⇒8x + 4 = 180°

⇒8x = 180° - 4

⇒8x = 176

⇒x = 176/8

⇒x = 22°

◙ The first angle :-

3x - 3 = 3(22) - 3

= 66 - 3

= 63°

◙ The first angle :-

5x + 7 = 5(22) + 7

= 110 + 7

= 117°

$\rule{130}2$

◙ Check :-

3x - 3 + (5x + 7)

= 63 + 117

= 180°