Question

Find m∠KHG. m∠IHG = 161° m∠IHK = (3x + 4)° m∠KHG = (7x + 7)° help??

Answer 1

For this case we have to, if we look at the figure, the IHG angle is given by the sum of the IHK and KHG angles.

We have to:

$IHG = 161$

So, as mentioned above we have:

$(3x + 4) + (7x + 7) = 161\\3x + 4 + 7x + 7 = 161$

We add similar terms:

$10x + 11 = 161\\10x = 161-11\\10x = 150\\x = \frac {150} {10}\\x = 15$

Thus, the KHG angle is given by:

$7 (15) + 7 = 105 + 7 = 112$

Answer:

The KHG angle is 112 degrees