Answer:
x = 4
∠R = 71°
Explanation:
COMPLEMENTARY ANGLES: TWO ANGLES WITH A SUM OF 90°.
![31 - 3x + 19x - 5 = 90](https://img.qammunity.org/2022/formulas/mathematics/college/tb936eay694g69qryfqb8834bfgbhea2am.png)
To make this problem easier to solve, we can combine like terms.
![26 + 16x = 90.](https://img.qammunity.org/2022/formulas/mathematics/college/438blsecgxdqltu3ox2lqdghedhy8rnuv8.png)
Now, we can proceed.
First, subtract 26 from 26 and 90.
(cancels itself out).
![90 - 26 = 64.\\](https://img.qammunity.org/2022/formulas/mathematics/college/okqzhuwkugul19gt6bh6yh3o92gfxj5920.png)
Now, we are left with 16x = 64.
Lastly, we divide the number in front of the variable by the answer.
![64/16 = 4](https://img.qammunity.org/2022/formulas/mathematics/college/asc32urdb2v84r4nba5ymtyb74l5n96zde.png)
Therefore, the value of x is 4.
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Now that we have the value of x, we can use this value to replace the variable (x).
![19x - 5](https://img.qammunity.org/2022/formulas/mathematics/college/xxhjtq3prz4bsm9a0waagzgbrora13md17.png)
![19 * 4 - 5 = 71.](https://img.qammunity.org/2022/formulas/mathematics/college/weregl0rg4zjmc0yre2m2gxyd9o0n11qrq.png)
Therefore, the value of ∠R is 71°.