In the given diagram, 14 supplementary angles which are not adjacent angles with angle-7.
What is a supplementary angle?
"Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together. In other words, Angle 1 and Angle 2 are supplementary, if Angle-1 + Angle-2 = 180°. In this case, Angle 1 and Angle 2 are called "supplements" of each other."
What is an adjacent angle?
"The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side."
Given, 4 lines intersect to form 16 angles.
Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8; 9, 10, 11, 12; 13, 14, 15, 16.
Here, 4 lines intersect to form 16 supplementary angles.
However, 2 angle those are adjacent angle of angle-7.
Therefore, there are 14 supplementary angles which are not adjacent angles with angle-7.
Learn more about supplementary angles and adjacent angles here: https://brainly.com/question/10638383
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