Propose structures for carboxylic acids that show the following peaks in their ${ }^{13}$ C NMR spectra. Assume that the kinds of carbons $\left(1^{\circ}, 2^{\circ}, 3^{\circ},\right.$ or $4^{\circ}$ ) have been assigned by DEPT-NMR.
(a) $\mathrm{C}_{7} \mathrm{H}_{12} \mathrm{O}_{2}: 25.5 \delta\left(2^{\circ}\right), 25.9 \delta\left(2^{\circ}\right), 29.0 \delta\left(2^{\circ}\right), 43.1 \delta\left(3^{\circ}\right), 183.0 \delta\left(4^{\circ}\right)$
(b) $\mathrm{C}_{8} \mathrm{H}_{8} \mathrm{O}_{2}: 21.4 \delta\left(1^{\circ}\right), 128.3 \delta\left(4^{\circ}\right), 129.0 \delta\left(3^{\circ}\right), 129.7 \delta\left(3^{\circ}\right), 143.1 \delta$
$\left(4^{\circ}\right), 168.2 \delta\left(4^{\circ}\right)$