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3 years ago

Pls help me with this maths equation

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

Answer:

Step-by-step explanation:

given :

y = 120 degree

z = 57 degree

angle x = ?

first lets find angle c in triangle BDC

<h3>angle c + z = y (sum of two interior opposite angle is equal to the exterior angle formed)</h3>

angle C + 57 = 120

angle C = 120 -57

angle C = 63 degree

Now lets find angle B in triangle BDC

angle B + angle C + z = 180 degree (sum of interior angles of a triangle)

angle B + 63 + 57 = 180

angle B + 120 = 180

angle B = 180 - 120

angle B = 60 degree

now for angle x

angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)

60 + 57 = x

117 = x

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If you look at the triangle, HK has a midpoint of point L, HJ has a midpoint of point M, and KJ has a midpoint of point N. Now if you stretch the lines inside of the triangle, they intersect at point P which is known as the circumcenter of HJK, true.

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Now let us look at the lines stretch inside of the triangle. There are three lines which are congruent. Those lines are PK, HP, and PJ (they are the big lines inside the triangle) are congruent. Since those three line intersect at point P, it make the statement true that P is the circumcenter of HJK.

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