Question

The missing measure for angle B is ___

the missing measure for angle C is ___

i found the missing measures for B and C by ….

justification: i know that the angle measures for B and C are accurate because…….

Answer 1

Missing measure for angle B = 74°

Missing measure for angle C = 74°

Explanation:

Side AB = Side AC

∴∠B° = ∠C°

Two sides out of three of this triangle are equal to each other, therefore this is an isosceles triangle

Let x° = ∠B° = ∠C°

Sum of interior angles of a triangle = 180°

∴32° + x° + x° = 180°

= 32° + 2x° = 180°

= 2x° = 180° - 32°

= 2x° = 148°

= x° =
`(148)/(2)`

= x° = 74°

∴∠B° = ∠C° = 74°