In a rhombus, all four sides are congruent, and the opposite angles are congruent. Given that ZDAB = 2x + 150° and ZDCB = 3x - 30°, we can set up an equation:
Since ZDAB and ZDCB are opposite angles in a rhombus, they are congruent to each other.
2x + 150° = 3x - 30°
Now, let's solve for x:
2x + 150° = 3x - 30°
Add 30° to both sides:
2x + 150° + 30° = 3x
2x + 180° = 3x
Now, subtract 2x from both sides:
180° = x
Now that we know the value of x, we can find the measurement of ZBDC:
Answers & Comments
Answer:
In a rhombus, all four sides are congruent, and the opposite angles are congruent. Given that ZDAB = 2x + 150° and ZDCB = 3x - 30°, we can set up an equation:
Since ZDAB and ZDCB are opposite angles in a rhombus, they are congruent to each other.
2x + 150° = 3x - 30°
Now, let's solve for x:
2x + 150° = 3x - 30°
Add 30° to both sides:
2x + 150° + 30° = 3x
2x + 180° = 3x
Now, subtract 2x from both sides:
180° = x
Now that we know the value of x, we can find the measurement of ZBDC:
ZBDC = 3x - 30°
Substitute the value of x:
ZBDC = 3 * 180° - 30°
ZBDC = 540° - 30°
ZBDC = 510°
So, the measurement of ZBDC is 510°.
Step-by-step explanation: