Charles draws a supplementary angle and partitions it into 4 smaller angles totaling 180° . Angle X and Angle Y have the same measurement. Angle Z is 250% the value of Angles X and Y. Angle W is half the value of Angle X. Write an expression to determine the measurement of each angle.

w= 18° , x= 36°, y= 36°, z= 90°

Step-by-step explanation:

Let angle x be denoted as x

Since Angle X and Angle Y have the same measurement. This means: x = y

Angle Z is 250% the value of Angles X and Y. This means:

z = 250% × x = 2.5x

Angle W is half the value of Angle X. This means:

w = 1/2 × x = 0.5x

Add all the angles together and recall that:

w = 0.5x

x = x

y = x

z = 2.5x

W + X + Y + Z = 180

0.5x + x + x + 2.5x = 180

5x = 180

x = 180/5

x = 36°

w = 0.5x = 0.5 × 36° = 18°

x = x = 36°

y = x = 36°

z = 2.5x = 2.5 × 36° = 90°

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a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral   triangle, and the lateral faces are also triangles "

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: