Find the measure of angle A. 110° O 80° O 105° O 30° O100° 14 + 6x A 3x-3

asked Jun 28, 2024 134k views

5 votes

Find the measure of angle A.

110°
O 80°
O 105°
O 30°
O100°
14 + 6x
A
3x-3

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7 votes

Answer:

$80^(\circ)$

Explanation:

The interior angles of the triangle are
$70^(\circ), (14+6x)^(\circ)$ , and
$(3x-3)^(\circ)$ .

Angles in a triangle add to
$180^(\circ)$ .

$70+14+6x+3x-3=180 \\ \\ 81+9x=180 \\ \\ 9x=99 \\ \\ x=11$

So,
$m\angle A=14+6(11)=80^(\circ)$ .

Coolest answered Jul 4, 2024

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