Question

В ромбе ABCD угол ABC равен 126 градусов Найдите угол ACD ответ дайте в градусах

Answer 1

угол B и С - односторинние при дс паралельно аб, сб - секущая

угол б + с= 180

угол с= 180-126=54

ас - диагональ отсюда следует биссектрисса угла с ( по свойству диагоналей) отсюда следует угол асд= 54/2=27 градусов

ответ: 27

Answer 2

Finding the Angle ACD in Rhombus ABCD

In a rhombus, opposite angles are equal. Given that angle ABC is 126 degrees, we can find the measure of angle ACD.

Step 1: Since opposite angles in a rhombus are equal, angle ABD is also 126 degrees.

Step 2: In a rhombus, the sum of adjacent angles is 180 degrees. Therefore, angle ABD + angle ACD = 180 degrees.

Step 3: Substitute the known value of angle ABD (126 degrees) into the equation: 126 + angle ACD = 180.

Step 4: Solve for angle ACD: angle ACD = 180 - 126.

Step 5: Calculate the value: angle ACD = 54 degrees.

Therefore, the measure of angle ACD in the rhombus ABCD is 54 degrees.