In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.

Mathematics

2 answers:

Anna [14]4 years ago

5 0

Answer:

Step-by-step explanation:

Sophie [7]4 years ago

3 0

Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.

The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.

Hope this helped!

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