Answer:
[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
[tex]8x - 10 + 4x + 52 = 90 \\ 8x + 4x - 10 + 52 = 90 \\ 12x + 42 = 90 \\ 12x = 90 - 42 \\ 12x = 48 \\ x = \frac{48}{12} \\ x = 4[/tex]
Now, the value of the angles,
[tex]8x - 10 \\ = 8(4) - 10 \\ = 32 - 10 \\ = 22[/tex]
[tex]4x + 52 \\ = 4(4) + 52 \\ = 16 + 52 \\ = 68[/tex]
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[tex] \huge\purple{ \mid{ \underline{ \overline{ \tt ꧁❣ RainbowSalt2222 ࿐ }} \mid}}[/tex]