What is the measure of KPN?
A. 35°
B. 50°
C. 60°
D.65°
E. 70°

The value of KPN will be 50°.

It should be noted that the sum of the angles that are in a triangle is 180°.

Therefore, looking at the angles, the measure of KPN will go thus:

KPN + 70° + 60° = 180°

KPN + 130° = 180°

KPN = 180° - 130°

KPN = 50°

Therefore, KPN will be 50°.

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Option (B)

Step-by-step explanation:

From the picture attached,

NL and KM are the two lines intersecting at a point P.

Therefore, ∠KPN ≅ LPM [Vertical angles]

In ΔPLM,

m∠LPM + m∠PML + m∠PLM = 180° [Property of a triangle]

m∠LPM + 70° + 60° = 180°

m∠LPM + 130° = 180°

m∠LPM = 180° - 130°

m∠LPM = 50°

Therefore, m∠KPN = 50° [vertical angles]

Option (B) will be the correct option.

The value of uw is 67

Step-by-step explanation:

Given that,

If uw= 6x-35...(I)

Line segment consists of points u,v,w

u to v is 19

v to w is 4x-20

We need to calculate the value of x

Using given data

Put the value of u and w

We need to calculate the value of uw

Put the value of x in equation (I)

Hence, The value of uw is 67