Question

In rhombus ABCD <A=<B-30then find <C ​

Answer 1

Answer:

∠C = 75°

Step-by-step explanation:

concept:

In a rhombus,

1.Opposite angles are equal

2.Any two consecutive angles are supplimentary.

Given:

∠A=∠B - 30°

In rhombus ABCD,

∠A+∠B =180°

∠B - 30° +∠B =180°

2∠B - 30° =180°

2∠B =180° + 30°

2∠B = 210°

∠B = 105°

∠A=105° - 30°

∠A= 75°

Also,

∠A=∠C

∠C = 75°