Question

Q15 Two angles forms a linear pair. Their measures are represented by( x+10)° and( 3x+10)°. what are the measures of the angles? *

40°, 40°
40°,140°
50°,130°

Answer 1

Step-by-step explanation:

x +10+3x+10=180

4x+20=180

4x=160

x=40°

Measures = 40+10=50

3×40+10 =130

Hope it helps you.

Answer 2

Step-by-step explanation:

Linear Pair = 180°

$\sf{ = > (x + 10) + (3x + 10) = 180}$

$\sf{ = > x + 10 + 3x + 10 = 180}$

$\sf{ = > x + 3x + 10 + 10 = 10}$

$\sf{ = > 4x + 20 = 180}$

$\sf{ = > 4x = 180 - 20}$

$\sf{ = > 4x = 160}$

$\sf{ = > x = \cancel \dfrac{160}{4} }$

$\sf{ = > 40}$

The angles are :

=> (x + 10) ° = (40+10) = 50°

=> (3x + 10) ° = (3 × 40 + 10) = (120+10) = 130°

Hence, the angles are 50° and 130°.