Respuesta :

SDCInfinity

Answer:

x = 14

Step-by-step explanation:

These angles are complementary angles, meaning they have a sum of 90°.

4x + 1 + 2x + 5 = 90

6x + 6 = 90 (Added like terms.)

6x = 84 (Subtracted 6 on both sides.)

x = 14 (Divided 6 on both sides.)

Sᴘᴀᴄᴇ7

[tex]\sf \longmapsto \: (4x + 1) + (2x + 5)[/tex]

  • It has a sum of 90 as the given angles are complementary angles.

[tex]\sf \longmapsto \: 4x + 1 + 2x + 5 = 90[/tex]

[tex]\sf \longmapsto4x + 2x + 1 + 5 = 90[/tex]

[tex]\sf \longmapsto6x + 6 = 90[/tex]

[tex]\sf \longmapsto6x = 90 - 6[/tex]

[tex]\sf \longmapsto \: 6x = 84[/tex]

[tex]\sf \longmapsto \: x = \cancel\dfrac{84}{6} [/tex]

[tex]\sf \longmapsto \: x = 14[/tex]

[tex] \boxed{\sf \boxed {{ \sf \red{\: x = 14 }}}}[/tex]

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