Question

what is the value of a?
z+37° a-50°
z+3°
z
a = °
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle $z+37^\circ$ equals the sum of the two remote interior angles: $z + (z+3^\circ)$
$z + 37^\circ = z + (z + 3^\circ)$

Step2: Solve for $z$

Simplify the equation:
$z + 37 = 2z + 3$
$37 - 3 = 2z - z$
$z = 34^\circ$

Step3: Use linear pair property

The angles $z+37^\circ$ and $a-50^\circ$ form a linear pair, so their sum is $180^\circ$:
$(z + 37^\circ) + (a - 50^\circ) = 180^\circ$

Step4: Substitute $z=34$ and solve for $a$

Substitute $z=34$:
$(34 + 37) + (a - 50) = 180$
$71 + a - 50 = 180$
$a + 21 = 180$
$a = 180 - 21$
$a = 159$

Answer:

$159$