Please answer...........
Answers
Step-by-step explanation:
x=120°
a.false
b.true
c.false
★ Answer 5 : –
Given that, OA , OB , OC and OD intersect at a point. The value of x :
» 95 + 65 + 80 + x = 360
» 160 + 80 + x = 360
» 240 + x = 360
» x = 360 - 240
» x = 120
Now, Verification
» 95 + 65 + 80 + x = 360
By putting the values,
» 95 + 65 + 80 + 120 = 360
» 360 = 360
L.H.S = R.H.S
Hence, Verified !
______________________.......
Answer 6 : –
True or false statement
a) Sum of two complementary angles is 180°
» True
b) Sum of two supplementary angles is 180°
» False
c) Sum of interior angles on the same side of a transversal with two parallel lines is 90°
» False
d) Vertically opposite angles are equal.
» True
e) A linear pair may have two acute angles.
» False
f) Two supplementary angles are always obtuse angles
» False
______________________.......
Answer 7 : –
Given that, AB || CD and AF || ED
∠ ACF = 68° , ∠FED = 42°
To Find : –
- The measure of EFD ......(?)
Solution : –
∠ AFE = ∠ FED = 42° ..... alternate-interior angles
Now, we can find EFD , by the angle sum property,
» ∠ AFE + ∠ FED + ∠ EFD = 180
By putting the values,
» 68° + 42° + ∠ EFD = 180
» 110° + ∠ EFD = 180
» ∠ EFD = 180 - 110
» ∠ EFD = 70°
Now, Verification
» 68 + 42 + 70 = 180
» 110 + 70 = 180
» 180 = 180
L.H.S = R.H.S
Hence, Verified !
______________________.......
★ Answer 8 : –
Given that, l || m || n
∠ QPS = 35° and ∠QRT = 55°
To Find : –
- The measure of ∠ PQR .......(?)
Solution : –
∠ QPS = ∠ PQm = 35° ..... alternate interior angles
Therefore, PQm = 35°
∠ QRT = RQn = 55° ...... alternate interior angles
Therefore, RQn = 55°
Now, we can find the measure of ∠PQR by adding PQm and RQn
By putting the values,
» 35 + 55
» 90
Therefore, ∠ PQR = 90°