Question

Please answer...........​

Answer 1

Step-by-step explanation:

x=120°

a.false

b.true

c.false

Answer 2

★ 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°