Please help it will be brainlist as long as it’s right
2 answers:
Answer:
x = 5
Step-by-step explanation:
The 2 triangles are similar by the AA postulate then the ratios of corresponding sides are equal , that is
=
=
( cross- multiply )
30(2x + 10) = 40(x + 10) ← distribute parenthesis on both sides
60x + 300 = 40x + 400 ( subtract 40x from both sides )
20x + 300 = 400 ( subtract 300 from both sides )
20x = 100 ( divide both sides by 20 )
x = 5
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notice, that running a line from the center, you end up with an angle bisector to a vertex of the triangle, now, this is a "regular polygon", so, all sides are equal, for a triangle, when all sides are equal, all angles are also equal, and since the sum of all internal angles in a triangle must add up to 180°, then that means, each angle is 60°
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