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Sagot :
Answer:
The 2 triangles on the right and left are isosceles, so they have 2 equal sides. Consequently, the angles at the base are equal.
Because the opposite angles of a vertix are equal, the triangle in the lower part has the angles x, 58° and 47°.
Because the sum of the inner angles of a triangle is 180, x= 180- (58+47)
x= 180-105 = 75°
Pls mark as brainliest
Answer: x = 72
Step-by-step explanation:
The triangle with ∠a is an isosceles triangle; the other two angles are congruent, let them be y
a + y + y = 180 (sum of angles in triangles)
58 + 2y = 180
Subtract 58 from both sides
2y = 122
Divide both sides by 2
y = 61°
In the triangle with ∠b, b is congruent to another angle, (isosceles triangle) let it be b.
b = 47°
y and b have a relationship with the other two of the angles with ∠x (vertical angles); let them be y and b.
y + b + x = 180
61 + 47 + x = 180
108 + x = 180
Subtract both sides by 108
x = 72
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