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3 years ago

What is the measure of ∠x

Mathematics

2 answers:

sineoko [7]3 years ago

4 0

Answer:

x = 37°

Step-by-step explanation:

→ First, we need to remember 2 important angle facts

Angles in a triangle add up to 180°
Alternate angles are equal

→ The first thing we want to do is find BCA because it's alternate to CAE or angle x, so let's set up an equation

BCA + 41° + 102° = 180°

→ Add the whole number together

BCA + 143° = 180°

→ Minus 143° from both sides to isolate BCA

BCA = 37°

→ Using the second angle fact, that alternate angles are equal, we can confirm that angle 'x' and angle BCA are alternate therefore equal

x = 37°

jeyben [28]3 years ago

3 0

Answer:

see below

Step-by-step explanation:

If we look at ∠CBA and ∠BAE, we notice that they must be supplementary because they are same side interior angles, therefore:

41 + 102 + x = 180

143 + x = 180

x = 37°

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