Question

The measures of the angles of triangle ABC are given by the expressions in the table
What are the measures of angles A and C
m/A = ? Degrees
m/C = ? Degrees

Answer 1

Answer:

$m<A=125\°$

$m<B=35\°$

Step-by-step explanation:

step 1

Find the value of x

we know that

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

so

$m<A+m<B+m<C=180\°$

substitute the values and solve for x

$(6x-1)\°+20\°+(x+14)\°=180\°$

$7x=180\°-33\°$

$7x=147\°$

$x=147\°/7=21\°$

step 2

Find the measure of angle A

$m<A=(6x-1)\°=6(21)-1=125\°$

step 3

Find the measure of angle C

$m<C=(x+14)\°=21+14=35\°$