Two angles are supplementary if their sum is 180 degrees.
Here we are given:
Angle GHI measures (28x + 40)° and angle JHI measures (7x)°.
Sum of angle GHI and JHI is 180.
dividing both sides by 35,
x=4
Now let us find angle JHI
angle JHI = 7x = 7*4 =28
Answer : Angle JHI is 28 degrees.
Answer:
The required value of x = 3
Step-by-step explanation:
For better understanding of the solution, see the attached figure :
The given three points are collinear to each other and the point P lies somewhere between the end points of the line MN
So, to find the value of x we can use the relation : Sum of Mid segments PM and PN is equal to complete length of the line segment MN
⇒ PN + PM = MN
⇒ 6·x + 2·x - 5 = 5·x + 4
⇒ 8·x - 5·x = 4 + 5
⇒ 3·x = 9
⇒ x = 3
Hence, The required value of x = 3
