Answer:

48 and 132 degrees

Step-by-step explanation:

we know that angles in the same side of transversal are supplementary.

so,

  (2x-8)+(5x-8)= 180

  2x+5x-8-8 = 180

   7x-16 = 180

    7x= 196

    x = 196/7

    x= 28

NOW,

1st angle = 2x-8 = (2*28)-8

                          =  56-8

                          = 48

2nd angle = 5x-8 = (5*28)-8

                             =  140-8

                             = 132

तिर्यक रेखा के एक ही ओर के दो आंतरिक कोणों का माप (2x-8)° और (5x-8)° है। प्रत्येक कोण का माप ज्ञात कीजिए।

°•° sum of interior angles on same side of transversal= 180°

•°• (2x-8)+(5x-8) = 180

==> 2x-8+5x-8 = 180

==> 7x-16 = 180

==> 7x = 180+16 = 196

==> x = 196/7 = 28

•°• first angle= 2x-8 = 2×28-8 = 56-8 = 48°

and second angle= 5x-8 = 5×28-8 = 140-8 = 132°