Answer with step by step explanation :-
6.) in the given figure :-
=》 x + 38° + 5x - 8° = 90°
=》6x + 30° = 90°
=》6x = 60°
=》x = 10°
now, Angle B = x + 38° = 10° + 38° = 48°
7.) if the angles are supplementary then,
the sum of measures of the angles = 180°
so,
=》 2( 2x + 123° ) + x + 34° = 180°
=》4x + 246° + x + 34° = 180°
=》5x + 280° = 180°
=》5x = -100°
=》x = -100 ÷ 5
=》x = -20
so, first angle
=》 2 (2x + 123°)
=》2 ( (2 × -20) + 123 )
=》2 ( -40 + 123 )
=》2 × 83°
=》166°
second angle
=》 x + 34°
=》-20° + 34°
=》14°
8.)
here, the given pair of angles are vertical opposite angles whose measures are equal
so,
=》3x + 2° = 53°
=》3x = 51°
=》x = 51° ÷ 3
=》x = 17°
i hope it helped.......
