What is the measure of the vertex angle in the next triangle in the pattern? 4 isosceles triangles in a row, each smaller than the one before. The first has base angles 89 degrees and vertex angle 2 degrees, the second has base angles 88 degrees and vertex angle 4 degrees, the third has base angles 87 degrees and vertex angle 6 degrees, and the fourth has base angles 86 degrees and vertex angle 8 degrees,

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The measure of the vertex angle of the next isosceles triangle is 10°

Step-by-step explanation:

The given information are;

The first isosceles triangle; Base angles = 89°, vertex angle = 2°

The second isosceles triangle; Base angles = 88°, vertex angle = 4°

The third isosceles triangle; Base angles = 87°, vertex angle = 6°

The fourth isosceles triangle; Base angles = 86°, vertex angle = 8°

The vertices of the isosceles triangles form a arithmetic projection, with a common difference of 2°

Therefore, the vertex for next isosceles triangle = 8° + 2° = 10°

The base angles are derived from the sum of interior angles of a triangle which is 180°

Which gives;

2 × Base angles + Vertex angle = 180°

2 × Base angles + 10° = 180°

2 × Base angles = 180° - 10° = 170°

Base angles = 170°/2 = 85°

Base angles of the fifth isosceles triangle = 85°

From which we have;

The fifth isosceles triangle; Base angles = 85°, vertex angle = 10°

The measure of the vertex angle of the next (fifth) isosceles triangle = 10°

your answer is a

step-by-step explanation:

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(0,,,0)

step-by-step explanation:

the table of x and y values is shown in the attached pic(part of question)

we have to decide according that graph

given points are (0, 0) (–1, 0), (2, 0)

when we graph these points on graph they show an increasing line as shown in the attached pic