4 years ago

Find the measure of the marked angles.

Mathematics

1 answer:

klemol [59]4 years ago

7 0

Answer:

$(61x + 3) = 125 \degree$

$(25x + 5) =55 \degree$

Step-by-step explanation:

The first angle us (61x+3)

The second angle is (25x+5)

We use corresponding angles to get the top angle as a linear pair to (25x+5).

We use sum of angles on a straight line to obtain:

$(61x + 3) + (25x + 5) =180 \degree$

Group similar terms

$61x + 25x = 180 - 3 - 5$

$86x = 172$

$x = 2$

We substitute to get:

$(61x + 3) = 61 \times 2 + 3 = 125 \degree$

$(25x + 5) =25 \times 2 + 5 = 55 \degree$

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