ABCD is a parallelogram in which `angleA=110^@`.Find the measure of each of the angles `angleB,angleC` and `angleD`.

Answer

To solve the problem, we need to find the measures of angles B, C, and D in the parallelogram ABCD, given that angle A is 110 degrees.

### Step-by-Step Solution:

1. **Identify the properties of a parallelogram**:
In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (their sum is 180 degrees).

2. **Given**:
- Angle A = 110 degrees.

3. **Find angle C**:
Since opposite angles in a parallelogram are equal:
\[ \text{Angle C} = \text{Angle A} = 110^\circ \]

4. **Find angle B**:
Using the property of supplementary angles:
\[ \text{Angle A} + \text{Angle B} = 180^\circ \]
Substitute the value of angle A:
\[ 110^\circ + \text{Angle B} = 180^\circ \]
Now, solve for angle B:
\[ \text{Angle B} = 180^\circ - 110^\circ = 70^\circ \]

5. **Find angle D**:
Since angle D is opposite to angle B:
\[ \text{Angle D} = \text{Angle B} = 70^\circ \]

### Summary of Angles:
- Angle A = 110 degrees
- Angle B = 70 degrees
- Angle C = 110 degrees
- Angle D = 70 degrees

### Final Answer:
- Angle B = 70 degrees
- Angle C = 110 degrees
- Angle D = 70 degrees

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