+1314 In parallelogram ABCD, the measure of angle ABC is 3 times the measure of angle BCD. How many degrees are in the measure of angle ADC? (theres no picture or diagram)
+70 I'm going to answer in statement proof form.
Statement | Proof
mANGLE(ABC) is congruent to mANGLE(ADC) Properties of a Parallelograms
3(BCD)+(BCD)=180 Supplementary Property of Parallelograms
4(BCD) = 180 Simplify
BCD=45 Division property of Equality
180-45=ABC Properties of Supplementary Angles
135=ABC Simplify
135=ADC Transitive property of equality
If you have any questions or feedback let me know please!
+70 I'm going to answer in statement proof form.
Statement | Proof
mANGLE(ABC) is congruent to mANGLE(ADC) Properties of a Parallelograms
3(BCD)+(BCD)=180 Supplementary Property of Parallelograms
4(BCD) = 180 Simplify
BCD=45 Division property of Equality
180-45=ABC Properties of Supplementary Angles
135=ABC Simplify
135=ADC Transitive property of equality
If you have any questions or feedback let me know please!
