Question

pls solve and send fast​

Answer 1

Answer:

6)52.5°

7)60°

8)30°,60° and 90°

9)x=50°, y=77°

10)75

Step-by-step explanation:

6)Let two interior angles be x.

By exterior angle property,

x+x=105°

2x=105°

x=105°/2

x=52.5°

7) Construction:Draw XY line passing through Q and parallel to OP and RS.

PQX+PQR+RQY=180°(angle on a straight line)-----------------------1

AnglePQX+OPQ=180(Co-interior angles)

PQX+110°=180°

PQX=70°---------------2

AngleRQY+QRS=180°

RQY+130°=180°

RQY=50°---------------3

From 1,2&3 ,

70°+PQR+50°=180°

PQR=180°-120°

PQR=60°

8)Let the angles be x ,2x and 3x.

By angle sum property,

x+2x+3x=180°

6x=180°

x=30°

Therefore, angles are 30°, 60° and 90°.

9) 127°=y+50° (alternate interior angle)

y=127-50

y=77°

127°=x+y (exterior angle property)

127°=x+77°

x=127-77

x=50°

10)BAC+ACD=180°( Co-interior angle)

75°+ACD=180°

ACD=180°-75°

ACD=105°

105=x+30°(exterior angle property)

x= 75°