Answer:
the given statement is true.
Explanation:
i) It is given that the base angles of an isosceles triangle each measure 37°.
ii) Adding the values of the base angles is = 37° + 37° = 74°
iii) from the property of triangles we know that the sum of all the angles in a triangle is equal to 180°
iv) let the vertex angle be = y°
v) Therefore we can say from ii), iii) and iv) above that
74° + y° = 180°
vi) therefore the vertex angle y = 180° - 74° = 106°
Hence the given statement is true.