Question

hey guys please help me to solve this question, please ​

Answer 1

Answer:

93,63 but the opt is not existing so its option 4

Step-by-step explanation:

angle a and angle d are adjacent angles.

adjacent angles add up to 180 degrees. they are supplementary

so,

angle a + angle d = 180

3x + 15 + 2x + 45 = 180

5x + 60 = 180

5x = 120

x=120/5

x=24

so angle d is

2[24] + 45 = 93

angle a is

3[24] +15 = 63

Answer 2

Answer:

(1) 87°,93°,87°,93°

Step-by-step explanation:

∵ABCD is a parallelogram

∴∠DAB+∠ADC=180°....................(ADJACENT ANGLES ARE SUPPLEMENTARY)

(3x+15)°+(2x+45)°=180°

3x+15+2x+45=180

5x+60=180

5x=180-60

5x=120

x=120/5

x=24

ABCD is a parallelogram

∴∠DAB=(3x+15)°=3 x 24+15=87°

∠DCB=∠DAB=87°......................(opposite angles are congruent)

∠ADC=(2x+45)°=2 x 24+45=48+45=93°

∠ABC=∠ADC=93°