Question

Given the figure what is the value of x show your work


what is the measure of angle F show your work

Answer 1

Answer:

Part 1) The measure of angle F is $73\°$

Part 2)The value of x is $17\°$

Step-by-step explanation:

Part 1) Find the measure of angle F

we know that

$<F+107\°=180\°$ -----> by supplementary angles

$<F=180\°-107\°=73\°$

Part 2) we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

In this problem

$<D+<E+<F=180\°$

substitute values and solve for x

$51\°+(3x+5)\°+73\°=180\°$

$3x=180\°-129\°$

$3x=51\°$

$x=17\°$