Question

if ( x + 35° ) and ( x + 15° ) are the measure of the angles of a supplementary pair ,find the measure of large angle .​

Answer 1

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100°

Step-by-step explanation:

Sum of two supplementary angles is always 180°

x + 35+ x + 15 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

x = 130 + 2 = 65

So, the angles are

100° & 80°

Answer 2

$( x + 35° ) \: and \: ( x + 15° ) = 180°$

$2x + 50° = 180°$

$2x = 180° - 50°$

$2x = 130°$

$x = \frac{130°}{2}$

$x = 65°$

$= x + 35 \\ = 65 + 35 \\ = 100°$

$= x + 15 \\ = 65 + 15 \\ = 80°$