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Find the value of x in each figure.can i have help on 1 and 2

Find The Value Of X In Each Figurecan I Have Help On 1 And 2 class=

Sagot :

Answer:

[tex]\begin{gathered} 1.\text{ x=28} \\ 2.\text{ x=11} \end{gathered}[/tex]

Step-by-step explanation:

1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.

Therefore,

[tex]\begin{gathered} 3x=84 \\ x=\frac{84}{3} \\ x=28 \end{gathered}[/tex]

2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:

[tex]\begin{gathered} 46+4x=90 \\ 4x=90-46 \\ 4x=44 \\ x=\frac{44}{4} \\ x=11 \end{gathered}[/tex]

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